Question

1. $5x + 2y = 8$

$x - y = 3$

Explanation:

Step1: Solve the second equation for x

From \( x - y = 3 \), we can express \( x \) as \( x = y + 3 \).

Step2: Substitute x into the first equation

Substitute \( x = y + 3 \) into \( 5x + 2y = 8 \):

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Step3: Find x using the solved y

Substitute \( y = -1 \) into \( x = y + 3 \):
\( x = -1 + 3 = 2 \)

Answer:

The solution to the system of equations is \( x = 2 \), \( y = -1 \)