Question

1. $4x + 2y = 10$

$x - y = 13$

Explanation:

Step1: Solve the second equation for x

From \( x - y = 13 \), we can express \( x \) as \( x = y + 13 \).

Step2: Substitute x into the first equation

Substitute \( x = y + 13 \) into \( 4x + 2y = 10 \):

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Step3: Solve for y

Subtract 52 from both sides:

$$ 6y = 10 - 52 = -42 $$

Divide both sides by 6:

$$ y = \frac{-42}{6} = -7 $$

Step4: Solve for x

Substitute \( y = -7 \) into \( x = y + 13 \):

$$ x = -7 + 13 = 6 $$

Answer:

\( x = 6 \), \( y = -7 \)