Question

solve the system of equations graphed on the coordinate axes below.
$y = -2x$
$y = \frac{4}{3}x$
answer attempt 1 out of 2
solution:

Explanation:

Step1: Set the equations equal

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

Step2: Solve for \( x \)

Add \( 2x \) to both sides: \( 0 = \frac{4}{3}x + 2x \). Convert \( 2x \) to \( \frac{6}{3}x \), so \( 0 = \frac{10}{3}x \). Multiply both sides by \( \frac{3}{10} \): \( x = 0 \).

Step3: Find \( y \)

Substitute \( x = 0 \) into \( y = -2x \): \( y = -2(0) = 0 \).

Answer:

\((0, 0)\)