Question

Which system of equations would have the same solution as the system: x+y=5 3x+2y=10

Answer 1

{ x + y = 5     * ( -3 )
  3x + 2y = 10

- 3 x - 3 y = - 15
  3 x + 2y = 10
_______________
          - y = - 5  * ( -1 )
 
           y = 5

For x :

3 x + 2 y = 10

3 x + 2 * ( 5 ) = 10

3 x + 10 = 10

3 x = 10 - 10

3 x = 0

x = 0 / 3

x = 0

X = 0 and y = 5

hope this helps!