Question

question
type the correct answer in the box.
based on the graph produced in part a, what is the solution to this system of equations?
y - 3x = 4
y = (1/3)x - 4
write your answer as an ordered pair, (x,y).
the solution to this system of equations is

Explanation:

Step1: Set the equations equal

Since both equations equal \( y \), set \( 3x - 4 = \frac{1}{2}x + 1 \).

Step2: Solve for \( x \)

Subtract \( \frac{1}{2}x \) from both sides: \( 3x - \frac{1}{2}x - 4 = 1 \) → \( \frac{5}{2}x - 4 = 1 \).
Add 4 to both sides: \( \frac{5}{2}x = 5 \).
Multiply both sides by \( \frac{2}{5} \): \( x = 2 \).

Step3: Find \( y \)

Substitute \( x = 2 \) into \( y = 3x - 4 \): \( y = 3(2) - 4 = 6 - 4 = 2 \).

Answer:

\((2, 2)\)