Jordan wants to solve the following system using the elimination method: 2x + 3y = 10 x + y = 7 what number should the equation x + y = 7 be multiplied by to eliminate y? −2 2 −3 3

3 should be your answer

In elimination, you are already subtracting the whole of one equation

2x + 3y = 10 - 3(x + y = 7)

Distribute 2 to all monomials in the equation inside the parenthesis:
3x - 3y  = 21

Combine:
  2x + 3y = 10
+3x - 3y  = 21

   5x         = 31

hope this helps