Question

solve using substitution.

y = x - 10
y = -5x + 2

(\boxed{\quad}, \boxed{\quad})

Explanation:

Step1: Substitute y from first equation

Since \( y = x - 10 \) and \( y = -5x + 2 \), substitute \( y \) in the second equation with \( x - 10 \):
\( x - 10 = -5x + 2 \)

Step2: Solve for x

Add \( 5x \) to both sides:
\( x + 5x - 10 = 2 \)
\( 6x - 10 = 2 \)

Add 10 to both sides:
\( 6x = 2 + 10 \)
\( 6x = 12 \)

Divide by 6:
\( x = \frac{12}{6} = 2 \)

Step3: Solve for y

Substitute \( x = 2 \) into \( y = x - 10 \):
\( y = 2 - 10 = -8 \)

Answer:

\( (2, -8) \)