Question

y = x - 5\
-2x + 5y = -13

Explanation:

Step1: Substitute \( y = x - 5 \) into \( -2x + 5y = -13 \)

We know that \( y \) can be expressed as \( x - 5 \) from the first equation. So we substitute \( y \) in the second equation with \( x - 5 \).
\( -2x + 5(x - 5) = -13 \)

Step2: Simplify the equation

First, expand the bracket: \( -2x + 5x - 25 = -13 \)
Then, combine like terms: \( 3x - 25 = -13 \)

Step3: Solve for \( x \)

Add 25 to both sides of the equation: \( 3x = -13 + 25 \)
\( 3x = 12 \)
Divide both sides by 3: \( x = \frac{12}{3} = 4 \)

Step4: Solve for \( y \)

Substitute \( x = 4 \) into \( y = x - 5 \): \( y = 4 - 5 = -1 \)

Answer:

\( x = 4 \), \( y = -1 \)