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Solve each system of linear equations

Solve each system of linear equations-example-1

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Answer:

1) x = -3 and y = -4

2) x = 1/4 and y = -2

Explanation:

for #2 you can distribute a -2 among the terms in the top equation to get:

-8x - 6y = 10 now add this to the 2nd equation to get:

-2y = 4

y = -2

substitute -2 for 'y' to get 'x' as follows:

8x + 4(-2) = -6

8x + (-8) = -6

8x = 2

x = 2/8 or 1/4

for #1 I multiplied each side by 3 to remove the denominators in each equation to get:

3y = x - 9

3y = -2x - 18

now solve for 'x': x-9 = -2x-18 because each expression equals '3y'

3x-9 = -18

3x = -9

x = -3

plug -3 for 'x' into this equation to solve for 'y'': 3y = x-9

3y = -3 - 9

3y = -12

y = -4

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