Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

solve using substitution. y = -6x + 8 y = -4x + 2 (\\square, \\square)

Question

solve using substitution.
y = -6x + 8
y = -4x + 2
(\square, \square)

Explanation:

Step1: Substitute y from first equation

Since both equations equal \( y \), set them equal: \( -6x + 8 = -4x + 2 \)

Step2: Solve for x

Add \( 6x \) to both sides: \( 8 = 2x + 2 \)
Subtract 2: \( 6 = 2x \)
Divide by 2: \( x = 3 \)

Step3: Find y using x=3

Substitute \( x = 3 \) into \( y = -4x + 2 \): \( y = -4(3) + 2 = -12 + 2 = -10 \)

Answer:

\((3, -10)\)