Question

Solve the system of equations.

Answer 1

2x - 4y = 10

7x - 9y = 12

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Solve for x in the first equation. Add 4y to both sides.

2x = 10 + 4y

Divide both sides by 2.

x = 5 + 2y

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Plug in x into the second equation.

7(5 + 2y) - 9y = 12

Distribute 7 inside the parentheses.

35 + 14y - 9y = 12

Combine like terms.

35 + 5y = 12

Subtract 35 from both sides.

5y = -23

Divide both sides by 5.

y = -23/5

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Plug y into the first equation.

2x - 4(-23/5) = 10

Distribute -4 inside the parentheses.

2x + (92/5) = 10

Subtract 92/5 from both sides.

2x = -84/10 => 2x = -42/5

Divide both sides by 2.

x = -21/5

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$\boxed {(-21/5, -23/5)}$ is your answer.