Question

graph the system of equations to determine the solution.
$y = \frac{2}{3}x + 1$
$y = \frac{4}{3}x - 1$
use the graphing tool to graph the system.
click to enlarge graph

Explanation:

Step1: Set equations equal

$\frac{2}{3}x + 1 = \frac{4}{3}x - 1$

Step2: Isolate x terms

$1 + 1 = \frac{4}{3}x - \frac{2}{3}x$

Step3: Simplify both sides

$2 = \frac{2}{3}x$

Step4: Solve for x

$x = 2 \times \frac{3}{2} = 3$

Step5: Find y with x=3

$y = \frac{2}{3}(3) + 1 = 2 + 1 = 3$

Answer:

The solution is $(3, 3)$ (this is the intersection point of the two lines when graphed)