Question

solve.
y = -2x + 6
y = 3x + 1
( , )
submit

Explanation:

Step1: Set equations equal

Since both equal \( y \), set \( -2x + 6 = 3x + 1 \).

Step2: Solve for \( x \)

Add \( 2x \) to both sides: \( 6 = 5x + 1 \).
Subtract \( 1 \): \( 5 = 5x \).
Divide by \( 5 \): \( x = 1 \).

Step3: Find \( y \)

Substitute \( x = 1 \) into \( y = 3x + 1 \): \( y = 3(1) + 1 = 4 \).

Answer:

\((1, 4)\)