Question

solve the following system of equations graphically on the set of axes below.
$y = 3x - 8$
$y = -\frac{1}{3}x + 2$
plot two lines by clicking the graph.
click a line to delete it.

Explanation:

Step1: Find intersection by solving equations

Set \(3x - 8=-\frac{1}{3}x + 2\). Multiply both sides by 3: \(9x - 24=-x + 6\).

Step2: Solve for x

Add \(x\) and 24 to both sides: \(10x = 30\), so \(x = 3\).

Step3: Find y - value

Substitute \(x = 3\) into \(y = 3x - 8\): \(y=3(3)-8 = 1\).

Answer:

The solution is \((3,1)\) (the point of intersection of the two lines \(y = 3x - 8\) and \(y=-\frac{1}{3}x + 2\)).