Question

Find a solution to the following system of equations. -2x + y = -3 -x + 2y = 3

Answer 1

Answer:

Step-by-step explanation: 3+2=5

5

Answer 2

Answer: x=3  y=3

Elimination method.

eliminating x and solving for y.

-2x +y=-3

-x+2y=3

-2(-x+2y=3)

2x -4y = 6

Multiply the second equation by -2 so the x’s cancel out.

-2x+y=-3

2x-4y=6

-2x and 2x cancels out

Add like terms

y-=-6

4y=-3

solve.

-3y = -9

divide by -3 on both sides and

y=3

Plug in 3 for the place of y in either either equation.

-2x+ 3= -3

solve for x.

-2x+ 3= -3

     -3    -3

-2x=-6

Divide by -2

x=3