All categories

3 years ago

What is the solution (x,y) to the system of equations given? 2 x + 4 y = − 16 2x+4y=−16 2 y − x = = 16 2y−x==16

Mathematics

1 answer:

alisha [4.7K]3 years ago

3 0

Answer:

(-12,2)

Step-by-step explanation:

2x + 4y = -16

2y - x = 16

Multiply the bottom part by 2.

2x + 4y = -16

4y - 2x = 32

Add the equations and the answers to the equations up, and they will equal each other.

(2x + 4y) + (4y - 2x) = -16 + 32

8y = 16

y = 2

Plug y = 2 to the 2nd equation.

2*2 - x = 16

4 - x = 16

Subtract 4 from both sides.

-x = 12

Multiply both sides by -1.

x = -12

You might be interested in

If a rectangle has side lengths 5x-y and x+4y what would be the area and perimeter of the rectangle?

Dafna1 [17]

Answer:

Answer is given below with explanations. 

Step-by-step explanation:

$given \: \: l = 5x - y \: and \: \: b = x + 4y \\ area \: of \: rectangle \:= l \times b \: sq.units \\ = (5x - y)(x + 4y) \\ = 5 {x}^{2} + 20xy - xy - 4 {y}^{2} \\ = 5 {x}^{2} + 19xy - 4 {y}^{2} \\ perimeter \: of \: rectangle \\ = 2(l + b) \\ = 2(5x - y + x + 4y) \\ = 2(6x + 3y) \\ = 12x + 6y$

HAVE A NICE DAY!

THANKS FOR GIVING ME THE OPPORTUNITY TO ANSWER YOUR QUESTION. 

6 0

3 years ago

Round the greater number to the tens place. Then calculate the product.

Nonamiya [84]

Answer:

d:192

Step-by-step explanation:

6 0

3 years ago

Need some help with multiplying algebraic fractions

Nezavi [6.7K]

Answer:

a=10, b=5, c=2, d=12

Step-by-step explanation:

Multiply each variable together

5*2=10

8*3=24

10 $x^{3}$ $y^{2}$ /24x

the coefficients (numbers) can each be divided by 2

5 $x^{3} y^{2}$ /12x

subtract the "x" exponents together

5 $x^{2} y^{2}$ /12

8 0

3 years ago

If a quantity increases by 25% and then decreases by 25%, will that result be the original quantity? Explain.

Helen [10]

It depends if its decreasing 25% of the original quantity or decreasing by 25% of the quanity that is after already increasing by 25%.

5 0

3 years ago

chad buys peanut in 2-pound bags.He repackages them into bags that hold 5/6 pound of peanuts.How many 2-pound bags of peanuts sh

Nataliya [291]

First, let's find out how many 5/6 pound bags he can fill with on 2 pound bag.

2 divided by 5/6
2 x 6/5
2.4

He can fill 2.4 bags with one 2 bag.
Now we just need to multiply 2.4 by a number that will make it a whole number. You can use the guess and check method starting with 2 to figure your answer out, but 2.4 x 5 = 12 which is a whole number.

This means that Chad needs to buy 5 of the 2 pound bags to fill 12 of the 5/6 pound bags, and he will not have peanuts leftover

6 0

3 years ago