What is the solution of the system equations y = -3x + 8 y = - 5x - 2

Since both equations are equal to y, we can set them equal to each other.

y = -3x + 8

y = - 5x - 2

-3x + 8 = - 5x - 2

Solve for x. To do this, we need to get x by itself. First, move all the numbers to one side of the equation, and all the variables to the other.

-3x + 8 = - 5x - 2

Add 5x to both sides

-3x+5x + 8=-5x+5x - 2

2x+8=-2

Subtract 8 from both sides

2x+8-8 = - 2-8

2x=-10

Now, all the numbers are on one side, with the variables on the other. x is not by itself, it is being multiplied by 2. To undo this, divide both sides by 2

2x/2 = - 10/2

x = - 5

Now, to find y, substitute - 5 in for x in one of the equations.

y = - 5x - 2

y = - 5 (-5) - 2

y=25-2

y=23

Put the solution into (x, y)

The solution is (-5, 23)