Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

solve. y = -2x - 4 y = -3x - 10 (□,□) submit

Question

solve.
y = -2x - 4
y = -3x - 10
(□,□)
submit

Explanation:

Step1: Set the two equations equal

Since both equations equal \( y \), we can set them equal to each other: \( -2x - 4 = -3x - 10 \)

Step2: Solve for \( x \)

Add \( 3x \) to both sides: \( -2x + 3x - 4 = -10 \)
Simplify: \( x - 4 = -10 \)
Add 4 to both sides: \( x = -10 + 4 \)
Calculate: \( x = -6 \)

Step3: Substitute \( x \) into one equation to find \( y \)

Use \( y = -2x - 4 \), substitute \( x = -6 \): \( y = -2(-6) - 4 \)
Calculate: \( y = 12 - 4 = 8 \)

Answer:

\((-6, 8)\)