Question

solve this system of equations by graphing. first graph the equations, and then type the solution.
$y = \frac{7}{2}x - 3$
$y = -\frac{3}{2}x + 7$
click to select points on the graph.

Explanation:

Step1: Set equations equal

$\frac{7}{2}x - 3 = -\frac{3}{2}x + 7$

Step2: Combine like terms

$\frac{7}{2}x + \frac{3}{2}x = 7 + 3$

Step3: Simplify to solve for x

$5x = 10$
$x = 2$

Step4: Substitute x to find y

$y = \frac{7}{2}(2) - 3$
$y = 7 - 3 = 4$

Answer:

The solution is $(2, 4)$