Question

solve this system of equations by graphing. first graph the equations, and then type the solution.
$y = \frac{3}{2}x + 5$
$y = 2x + 6$
click to select points on the graph.
the solution is (\boxed{ }, \boxed{ }).

Explanation:

Step1: Find intersection by solving equations

Set the two equations equal: $\frac{3}{2}x + 5 = 2x + 6$
Subtract $\frac{3}{2}x$ from both sides: $5 = \frac{1}{2}x + 6$
Subtract 6 from both sides: $-1 = \frac{1}{2}x$
Multiply both sides by 2: $x = -2$

Step2: Find y - value

Substitute $x = -2$ into $y = 2x + 6$: $y = 2(-2) + 6 = -4 + 6 = 2$

Answer:

$(-2, 2)$