which values for x and y satisfy the following equations
y=x-1 and 2x + y=8

Answers

Answer 1
I would use substitution.

So y=x-1 and 2x+y=8
Substitute y=x-1 in for y
2x+(x-1)=8
Simply
= 3x -1=8
Bring the one to the other side
3x=9
Divide
X=3
Plug x into y=x-1
Y=(3)-1
Y=2
Check with the other equation
2(3)+(2)=8
6+2 =8

X=3
Y=2

You can also do elimination.
Y=x-1 and 2x+y=8
Subtract c from the first equation
-x+y=-1 and 2x+y=8
Those are your equations.

-1(-x+y)=-1
= x-y=1
2x+y=8
The y’s would cancel and you would add down so this is your new equation
3x=9
X=3
You then plug in the 3 for x
And find y
Y=(3)-1
Y=2

Related Questions

In a bag or marbles, 12% were red, 16% were blue, and the rest were white. If the bag had 250 marbles, how many were red and white?

Answers

Answer:

the correct answer is gg man

Step-by-step explanation:

Sammy ran 3 miles during P.E. How many total feet did Sammy run?

Answers

Answer:

15,840

Step-by-step explanation:

5280 feet in a mile

multiply by 3

Answer: 15840 feet

Step-by-step explanation: 1 mile = 5280 feet. So, multiply 5280 by 3. Your answer should be 15840 feet.

The large rectangle below represents one whole.

What percent is represented by the shaded area?

Answers

Answer: 44%

Step-by-step explanation:

There are 25 squares in the rectangle. This means that the percentage of each square is:

= 1/25 * 100

= 4%

There are 11 shaded squares so the percentage represented is:

= 11 * 4%

= 44%

For the picture of the kite below, how would you prove that triangle BCE is congruent to triangle DCE if ∠1 is congruent to ∠2 and ∠3 is congruent to ∠4? Write a proof plan to answer.

Answers

Answer:

∆ adc is congruent to ∆ abc by asa congruence rule where CA is common side,

so CD and CB are congruent therefore angle cbe is same as angle cde

so ∆ bce and ∆ dce are congruent by ASA congruence rule

The triangle BCE is congruent to triangle DCE if ∠1 is congruent to ∠2 and ∠3 is congruent to ∠4.

What is the congruent triangle?

Two triangles are said to be congruent if the length of the sides is equal, a measure of the angles are equal and they can be superimposed.

For the figures to be congruent they must be the same size and shape or one could mirror the other since they mirror each other and are the same size and shape they are congruent.

In triangle ∆ ADC and ∆ ABC

∠2 = ∠1

∠4 = ∠3

Thus, ∆ ADC ≅ ∆ ABC

∆ ADC is congruent to ∆ ABC by ASA congruence rule where CA is common side.

Also, CD and CB are congruent therefore angle CBE is same as angle CDE.

Similarly, ∆ BCE and ∆ DCE are congruent by ASA congruence rule.

The triangle BCE is congruent to triangle DCE if ∠1 is congruent to ∠2 and ∠3 is congruent to ∠4.

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In 2015, three wide receivers for the Arizona Cardinals caught a total of 226 passes. Larry Fitzgerald caught 44 more passes than John Brown and Michael Floyd caught 13 less catches than John Brown. How many passes did each receiver catch?

Answers

Answer:

ga sbgjdsbjdvbhjvbhjvcnb bn dsb sd

Step-by-step explanation:

Larry  Fitzgerald caught 109, John Brown caught  65 and  Michael Floyd caught 52.

How to form an equation?

Determine the known quantities and designate the unknown quantity as a variable while trying to set up or construct a linear equation to fit a real-world application.

An equation is a set of variables that are constrained through a situation or case.

Let's say the number of passes that Larry caught = L

Let's say the number of passes that John caught = J

Let's say the number of passes that Michael caught = M

Given,

Cardinals caught a total of 226 passes.

So,

L + J + M = 226

Larry Fitzgerald caught 44 more passes than John Brown

L = 44 + J

Michael Floyd caught 13 fewer catches than John Brown.

M = J - 13 ⇒ J = M + 13

Substituting this J into the above equation,

M = 52 , L = 109 and  J = 65

Hence, Larry  Fitzgerald caught 109, John Brown caught  65 and  Michael Floyd caught 52.

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the sign of the product of two numbers with opposite signs is a positive?

Answers

Answer:

No, negative

Step-by-step explanation:

the sign of the product of two numbers with opposite signs is a negative.

-5 * 4 = -20

5 * -4 = -20

The statement "the sign of the product of two numbers with opposite signs is a positive" is false.

What is an arithmetic operation?

It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has basic four operators that are +, -, ×, and ÷.

It is given that:

The statement is:

The sign of the product of two numbers with opposite signs is a positive

Let x be the number and x > 0

And let y be the number y < 0

The product of the above two numbers:

xy = -(A)  because x > 0 and y < 0

Here A is the positive real number or A > 0

The sign of the product of two numbers with opposite signs is negative.

Thus, the statement "the sign of the product of two numbers with opposite signs is a positive" is false.

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The mass of the gold ever mined is 1.65 x 108 kilograms.
The mass of all the silver ever mined is 1.411 x 10 kilograms
How much more silver has been mined than gold?
Give your answer in standard form.
Kg

Answers

Answer:

need points

Step-by-step explanation:

blah blah blah blah blah hope u pass

What's the answer???

Answers

Answer:

13.75

Step-by-step explanation:

Plz help I'm not good with % this is 7th grade work

Answers

Answer:

the answer would be 385 and there u go

Answer: 385

Step-by-step explanation: 77% of 500 is 385

Please help I am stuck. Would you also please explain on how to solve?

Answers

Answer:

<D is correct its confusing on the solving but

Step-by-step explanation:

A company announces that it will be giving 15% of its profits to charity. If the company profits $32,000, how much money will it give to charity?

Answers

Answer:

$4,800

Step-by-step explanation:

15% of $32,000

15% × 32000

0.15 × 32000 = $4,800

15% of $32,000 is $4,800 which will go to charity :)

Find the solution of 5/2x - 7 = 3/4x + 14

What is equal to x?

Answers

Answer:

Ameliorate retort, pertaining to preceding albeit contingent interrogate proximates subject to x = 12.

Step-by-step explanation:

Availing, exploiting, albeit maneuvering the Mathematic convention, Order of Operations (OO), the contiguous albeit proximate equation may ascertain as the preeminent imminent:

Groups: Not identified.

Exponents: Not identified, disparaging ₁.

Multiplication: Derived, pertaining to subtraction, 4 · (7/4x) = 4 · 21  7x = 84

Division: Derived, pertaining to multiplication, 7x = 84 ⇒ x = 12

Addition: Aggregate constants ⇒ 5/2x = 3/4x +21

Subtraction: Abate algebraic groups ⇒ 7/4x = 21

Rewrite 45 + 60 using the distributive property.

Answers

Answer:

45+60

Step-by-step explanation:

(60+40)+(60+5)=165

45 + 60

= (5 × 9) + (5 × 12)

= 5 × (9 + 12)

Julie sold 12 boxes of cookies in 15 minutes. If she continues selling cookies at this rate, how many boxes will she sell in 3 hours?

Answers

Answer: 144 boxes.

Step-by-step explanation: 15 is 1/4 of an hour. That means you need an hour to make 48 boxes. Then, multiply that by 3.

Answer:

144

Step-by-step explanation:

3 hours is 180 minutes

180/15 = 12

12*12= 144

so she will sell 144 boxes of cookies

A pack of six cans of coffee cost $12. How much would 15 cans of
coffee cost?

Answers

Answer:

30$ for a pack of 15

Step-by-step explanation:

12$ ÷ 6 to get the price for 1 can, then use that to multiply by 15 to get how much 15 cans cost.

Plzzz solves this as soon as possible, I'm just unsmart ik!!!! Solve for x

Answers

Answer:65

Because the other side is a ninety degree angel and the whole thing is 180 so if subtract the 90 degrees and then the 25 you will get 65

A frog makes jumps, each exactly meter long. The directions of the jumps are chosen independently at random. What is the probability that the frog's final position is no more than meter from its starting position

Answers

Answer:

1 by 4

Step-by-step explanation:

The computation of the probability is as follows

Here we assume the moves in a complex numbers i.e. a, b and c

Now the frog begins with the starting point.

So it would become easy to represent the exactly one element in a set that has lower or equal than 1

|a + b + c| , |a + b - c|, |a - b + c|, |a - b- c|

So here the probability is 1 by 4

y = X - ( 20x). What is the sale price if the cereal cost $4.00?

Answers

Question:

The grocery store has 20% off from the original price on cereal. The equation for finding the sale price would be y = x - (.20x). What is the sale price if the cereal cost $4.00?

Answer:

The sales price is $3.20

Step-by-step explanation:

Given

[tex]y = Sales\ Price[/tex]

[tex]x = Cost[/tex]

[tex]y = x - (0.20x)[/tex]

Required

Determine y when x = 4.00

To do this, we simply substitute 4.00 for x in [tex]y = x - (0.20x)[/tex]

[tex]y = 4.00 - (0.20 * 4.00)[/tex]

[tex]y = 4.00 - 0.80[/tex]

[tex]y = 3.20[/tex]

Hence, the sales price is $3.20

8 minus the sum of 5 and 43 divided by 8
helpppppp
it's not -5 i tried did not work
HELPPP

Answers

8-5+43/8

43 divided by 8 is 5.375.

8-5+5.375

8+0.375

The answer I got was 8.375

16(a+b)^2-49(a-b)^2 factorize the expression​

Answers

The given expression is a difference of squares, so we have

16 (a + b)² - 49 (a - b)² = 4² (a + b)² - 7² (a - b

… = (4 (a + b))² - (7 (a - b))²

… = (4 (a + b) - 7 (a - b)) (4 (a + b) + 7 (a - b))

… = (4a + 4b - 7a + 7b) (4a + 4b + 7a - 7b)

… = (-3a + 11b) (11a - 3b)

Determine the slope 2,-4 and 2,6

Answers

Answer:

there isn't a slope, if you're talking about

(2,-4) and (2,6), since

using the vertical line test.....

it's not even a function

so it doesn't have a slope

Step-by-step explanation:

2 1/3 X 4 1/5 find the product

Answers

Answer:

9 4/5

Step-by-step explanation:

I hope that helps! :)

9 4/5 is the answer you could also use caculator

a notebook costs 1.50 dollars. how many cents is that​

Answers

Answer:

150

Step-by-step explanation:

Answer:

150 cents

Step-by-step explanation:

if 1 dollar equals 100 cents then 1 dollar and 50 cents is one hundred fifty cents

I made this IMPOSSIBLE Question to see who can answer it correctly
(GIVING BRAINLIEST)

Answers

Answer:

d. 59.1 billion

Step-by-step explanation:

i noticed a pattern that each year is increasing by 12.9 billion i added 12.9 to 46.2 and got the answer

its soo easy wth

Please help meeee!!!!!
I attached it !!!!!!!!!!!!!!

Answers

Answer:

2/3

Step-by-step explanation:

66.66 percent is closest to the fraction 2/3.

Two of the vertices of a rectangle are (6,1) and (7,1). If the rectangle has a perimeter of 18 units, then what are the coordinates of its other two vertices?

Answers

Answer:

(6,9) and (7,9) - assuming the graph only has a single quadrant and the rectangle is vertical

Step-by-step explanation:

We know that the distance between (6,1) and (7,1) is one unit. Because a rectangle has 2 pairs of equal sides, we know that the distance between the 2 missing coordinates is equal to one. We then add these two units. Because the rectangle has a parameter of 18 units, we then have to subtract these 2 units from the total, leaving us with 16 units for both sides. We then divide 16 by 2 because there are 2 sides, leaving us with 8 units for each side. Assuming we are working with a coordinate graph (with only one quadrant instead of 4 on a coordinate plane), and assuming the rectangle is vertical, the missing coordinates should be 8 units above the coordinates you were given. Hope this helps! :)

Can anyone solve this ? If not it’s okay but I need the answers asap

Answers

Answer:

[tex] \huge \frac{ \frac{2}{3} }{ \frac{1}{2} } = \frac{4}{3} [/tex]

4:3 is the right answer.

Step-by-step explanation:

2/3 : 1/2

0.6:0.5

I hope that this will help you

Let X denote the total snowfall in the Twin Cities in December of a given year, measured in centimeters. The five-number summary for X is given by:Min. Q1 Median Q3 Max.0.0 8.4 17.4 30.9 85.3What is the most likely value for the mean of X?a) 15.2b) 21.9c) 53.9d) 4.9

Answers

Answer:

Concept: Caclulating Standard Variables

We have a five number summary which is more than enough information to calculate our mean.The mean is the sum of all the numbers divided by the nth number of numbers.Note that we can only find a rough estimation not the EXACT value We do (min +max + 2(Q1+median+Q3))/8 Now let's plug in our values!(0+85.3+2(8.4+17.4+30.9))/8 Which gives us option BHope this helps, give brainlist

Help on this math question please explain how you got the answer

Answers

Answer:

Store C has the lowest price of $7.00

Step-by-step explanation:

Store A's sale gets you 15% off the shoes. 15% of 35 is $25.50

Store B's sale gets you $5.00 off the shoes. $35.00 - $5.00 = $30.00

Store C's sale gets you 1/5 off the shoes. 1/5 of $35.00 is $7.00

That means that the only true statement is the Store C's shoes are $7.00

Hope this helps you for next time you get a problem like this.

What type of counting problem is this? Tatiana has a special puzzle in which all of the pieces fit together in any way. There is no goal picture. Instead, the
goal of the puzzle is to make different patterns and pictures using the pieces. If Tatiana has 50 unique puzzle pieces and she plans to use all of them, how
many possible pictures can she create?
a.Permutation without repetition
b.Combination without repetition
c.Permutation with repetition
d.Combination with repetition

Answers

Answer:

It is permutation without repetition. I just took the quiz. This is a permutation because different orderings of the pieces produce different pictures. Repetition is not allowed because there are a limited number of puzzle pieces.

Step-by-step explanation:

Answer:

Permutation without repetition

Step-by-step explanation:

This is a permutation because different orderings of the pieces produce different pictures. Repetition is not allowed because there are a limited number of puzzle pieces.

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