What is the solution to the system of equations graphed below?

y = - 2x - 3

y = 3x + 2

y = - 1, x = - 1

Step-by-step explanation:

Because they are both equal to y, the equations can be rewritten as:

-2x - 3 = 3x + 2

You are now able to rearrange this equation to find the value of x.

-3 = 5x + 2 (Add 2x to each side)

-5 = 5x (Subtract 2 from each side)

x = - 1 (Divide both sides by 5)

Finally, you can substitute x back into the equation to work out the value of y:

y = - 2 (-1) - 3

y = 2 - 3

y = - 1

You are now left with the results, y = - 1 and x = - 1.

(-1,-1)

Step-by-step explanation:

-1 = - 2 (-1) - 3

-1 = 2 - 3

-1 = - 1 TRUE

-1 = 3 (-1) + 2

-1 = - 3 + 2

-1 = - 1 TRUE