Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

solve. $y = -x - 4$ $y = -2x - 9$ ( , ) submit

Question

solve.
$y = -x - 4$
$y = -2x - 9$
( , )
submit

Explanation:

Step1: Set the two equations equal

Since both equal \( y \), set \( -x - 4=-2x - 9 \).

Step2: Solve for \( x \)

Add \( 2x \) to both sides: \( -x + 2x-4=-2x + 2x-9 \), so \( x - 4=-9 \).
Add 4 to both sides: \( x-4 + 4=-9 + 4 \), so \( x=-5 \).

Step3: Find \( y \)

Substitute \( x = - 5 \) into \( y=-x - 4 \): \( y=-(-5)-4 = 5 - 4=1 \).

Answer:

\((-5, 1)\)