Question

solve the following system of equations graphically on the set of axes below.
$y = x + 3$
$y = -2x - 6$
plot two lines by clicking the graph.
click a line to delete it.

answer: attempt 1 out of 5
solution:

Explanation:

Step1: Find intersection (solve equations)

Set \( y = x + 3 \) and \( y = -2x - 6 \) equal:
\( x + 3 = -2x - 6 \)

Step2: Solve for \( x \)

Add \( 2x \) to both sides: \( 3x + 3 = -6 \)
Subtract 3: \( 3x = -9 \)
Divide by 3: \( x = -3 \)

Step3: Find \( y \)

Substitute \( x = -3 \) into \( y = x + 3 \):
\( y = -3 + 3 = 0 \)

Answer:

The solution is \( (-3, 0) \)