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Solve the system of equations. -12x-5y=40 and 12x-11y=88 x= y=

User Justinrixx
by
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2 Answers

2 votes

Answer:

x=0 , y= -8

Explanation:

User Iamio
by
4.3k points
7 votes

Answer:

(0,-8)

x=0

y=-8

Explanation:

There are a couple of ways you can solve this I used what I think is called the elimination method

We first start by writing the equations in linear form (y=mx+b)

For the first one we have -12x-5y=40

we add 5y to both sides and subtract 40 to get

-12x-40=5y

divide by 5 to get

-12/5x-8=y

Then the second one we have

12x-11y=88

same deal here, add 11y and subtract 88 to get

12x-88=11y

divide by 11 and get

12/11x-8=y

We then set the two equations equal to each other and get

-12/5x-8=12/11x-8

We can add 8 to both sides and get

-12/5x=12/11x

Just by looking at it you can see that the only solution for x is 0

Plug in 0 to the first equation and get -12*0-5y=40

This means that -5y=40

Solve for y and get -8

User Vladimir Petrovski
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4.1k points