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Solve the system --Check the sol -8x-9y=14 4(2x-2y)=(-12)

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Final answer:

To solve the system of equations -8x - 9y = 14 and 4(2x - 2y) = -12, you can start by simplifying the second equation and eliminating the x terms. Then, add the equations and simplify further. Solve the resulting equation to find the value of x. Substitute the values of x and y back into one of the original equations to check the solution.

Step-by-step explanation:

To solve the system of equations:

-8x - 9y = 14

4(2x - 2y) = -12

First, let's simplify the second equation:

8x - 8y = -12

Next, we can eliminate the x terms by multiplying the first equation by 8:

-64x - 72y = 112

Then, we can add the two equations:

-64x - 72y + 8x - 8y = 112 - 12

-56x - 80y = 100

Simplifying further:

-7x - 10y = 12.5

To solve for y, we can multiply the first equation by 10:

-80x - 90y = 140

By adding the two equations:

-80x - 90y -7x - 10y = 140 + 12.5

-87x - 100y = 152.5

By solving this new equation, we can find the value of x. Once you have the values of x and y, you can substitute them back into one of the original equations to check if they satisfy the system of equations.

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