Question

question 2-4
enter the coordinates for the solution to the following system of equations
y = 3x - 8
y = -x + 4

Explanation:

Step1: Set equations equal

Since \( y = 3x - 8 \) and \( y = -x + 4 \), set \( 3x - 8 = -x + 4 \).

Step2: Solve for x

Add \( x \) to both sides: \( 4x - 8 = 4 \).
Add 8 to both sides: \( 4x = 12 \).
Divide by 4: \( x = 3 \).

Step3: Solve for y

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

Answer:

\((3, 1)\)