5/3x−2y=−2 −x+y=2 what is the solution of the system of equations?

  (x, y) = (-6, -4)

Step-by-step explanation:

The solution can be found quickly using a graphing calculator. It is the point of intersection of the two lines.

_____

If you like, you can solve the system algebraically. The second equation can be rewritten to give ...

  y = x +2

Substituting this into the first equation gives ...

  5/3x -2(x +2) = -2

  -1/3x -4 = -2

Adding 4 and multiplying by -3 gives ...

  x = -3(-2+4) = -6

Then our equation for y tells us ...

  y = -6 +2 = -4

The solution is (x, y) = (-6, -4).

step-by-step explanation:

step 1: solve one of the equations for one of the variables. let's solve the first equation for y:

step 2: substitute that equation into the other equation, and solve for x.

step 3: substitute x = 4 x = 4 x=4 into one of the original equations, and solve for y.