Question

solve using substitution.
$y = -3x + 2$
$y = -7x + 10$
$\big(\square, \square\big)$

Explanation:

Step1: Substitute \( y \) from first equation into second

Since \( y = -3x + 2 \) and \( y = -7x + 10 \), set them equal:
\( -3x + 2 = -7x + 10 \)

Step2: Solve for \( x \)

Add \( 7x \) to both sides:
\( 4x + 2 = 10 \)
Subtract 2 from both sides:
\( 4x = 8 \)
Divide by 4:
\( x = 2 \)

Step3: Find \( y \) using \( x = 2 \)

Substitute \( x = 2 \) into \( y = -3x + 2 \):
\( y = -3(2) + 2 = -6 + 2 = -4 \)

Answer:

\( (2, -4) \)