Question

The system of equations y = 2x + 5 and y = –3x – 15 is shown on the graph below.According to the graph, what is the solution to this system of equations?

Answer 1

X=-4 y=-3

Explanation:

Solve by substitution:

Step: Substitute

2x+5 for y in y = −3x−15 :

2x+5+3x=-3x-15+3x ( add 3x to both side)

5x+5=-15

5x+5+-5=-15+-5(add -5 to both sides)

5x=-20

5x/5=-20/5(divide both sides by 5)

X=-4

Step: substitute -4 for x in y=2x+5

Y=2x+5

Y=(2)(-4)+5

y=-3 (simplify both sides of the equation)

I HOPE ITS CORRECT IF IT SNOT IM SORRY!!

Answer 2

(-4, -3)

Explanation:

The graph of both lines will be shown below.

To find the solution, we need to find the point on the graph that both lines intersect on.

As we can see, both lines intersect on the point (-4, -3). Thus, that is the solution.

Best of Luck!