Question

What is the solution to the system of equations graphed below?
- 3x+2
y = 5x + 28

Answer 1

(-3.25, 11.75)

Explanation:

We only need two points to plot the graph of each equation.

`y=-3x+2\\\\for\ x=0\to y=-3(0)+2=0+2=2\to(0,\ 2)\\for\ x=1\to y=-3(1)+3=-3+2=-1\to(1,\ -1)\\\\y=5x+28\\\\for\ x=-4\to y=5(-4)+28=-20+28=8\to(-4,\ 8)\\for\ x=-6\to y=5(-6)+28=-30+28=-2\to(-6,\ -2)`

Look at the picture.

Read the coordinates of the intersection of the line (solution).