Question

solve the system of linear equations by substitution.
$x = 17 - 4y$
$y = x - 2$
$(square, square)$

Explanation:

Step1: Substitute \( y = x - 2 \) into \( x = 17 - 4y \)

Substitute \( y \) in the first equation with \( x - 2 \), we get \( x = 17 - 4(x - 2) \)

Step2: Solve for \( x \)

Expand the right side: \( x = 17 - 4x + 8 \)
Combine like terms: \( x + 4x = 17 + 8 \)
\( 5x = 25 \)
Divide both sides by 5: \( x = \frac{25}{5} = 5 \)

Step3: Substitute \( x = 5 \) into \( y = x - 2 \)

Substitute \( x = 5 \) into the second equation, we get \( y = 5 - 2 = 3 \)

Answer:

\((5, 3)\)