Question

solve using elimination.
-10x + 7y = 10
-10x + 10y = -20
(□, □)

Explanation:

Step1: Subtract the two equations

Subtract the first equation \(-10x + 7y = 10\) from the second equation \(-10x + 10y = -20\) to eliminate \(x\).

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Step2: Solve for \(y\)

Divide both sides of \(3y = -30\) by 3.

$$ y = \frac{-30}{3} = -10 $$

Step3: Substitute \(y\) into one equation

Substitute \(y = -10\) into the first equation \(-10x + 7y = 10\).

$$ -10x + 7(-10) = 10\\ -10x - 70 = 10 $$

Step4: Solve for \(x\)

Add 70 to both sides: \(-10x = 10 + 70 = 80\). Then divide by -10: \(x = \frac{80}{-10} = -8\).

Answer:

\((-8, -10)\)