Question

question
solve the system by substitution.

$x - y = 13$
$y = -7x + 3$

answer
attempt 1 out of 2
$\big(\square, \square\big)$ submit answer

Explanation:

Step1: Substitute \( y = -7x + 3 \) into \( x - y = 13 \)

Substitute \( y \) in the first equation: \( x - (-7x + 3) = 13 \)
Simplify the left side: \( x + 7x - 3 = 13 \)
Combine like terms: \( 8x - 3 = 13 \)

Step2: Solve for \( x \)

Add 3 to both sides: \( 8x - 3 + 3 = 13 + 3 \)
Simplify: \( 8x = 16 \)
Divide both sides by 8: \( x = \frac{16}{8} = 2 \)

Step3: Substitute \( x = 2 \) into \( y = -7x + 3 \)

Calculate \( y \): \( y = -7(2) + 3 \)
Simplify: \( y = -14 + 3 = -11 \)

Answer:

\( (2, -11) \)