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.

Explanation:

Step1: Find intersection by solving equations

Set \(\frac{3}{2}x + 5 = 2x + 6\).
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:

The solution is \(x = -2\), \(y = 2\) (or the ordered pair \((-2, 2)\)).