Question

elimination with addition and subtraction question 2 of 15 (1 point) | question attempt: 1 of 3 solve the following system of equations. -5x + 2y = 4 10x - 2y = -14 x = y =

Explanation:

Step1: Add the two equations

To eliminate \( y \), we add the equations \(-5x + 2y = 4\) and \(10x - 2y = -14\).

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Step2: Solve for \( x \)

Divide both sides of \(5x = -10\) by 5:

$$ x = \frac{-10}{5} = -2 $$

Step3: Substitute \( x = -2 \) into one of the original equations

Let's use the first equation \(-5x + 2y = 4\). Substitute \( x = -2 \):

$$ -5(-2) + 2y = 4\\ 10 + 2y = 4 $$

Step4: Solve for \( y \)

Subtract 10 from both sides:

$$ 2y = 4 - 10\\ 2y = -6 $$

Divide both sides by 2:

$$ y = \frac{-6}{2} = -3 $$

Answer:

\( x = -2 \), \( y = -3 \)