Question

Solve the system of equations below by elimination.

(Show your work)
2x+3y=1
5x+7y=3

Answer 1

-2x+2y+3z=0

-2x-y+z=-3

2x+3y+3z=5

---------------

-2x+2y+3z=0

-2x-y+z=-3

---------------- Subtract

3y + 2z = 3 Eqn A

=========================

-2x-y+z=-3

2x+3y+3z=5

---------------- Add

2y + 4z = 2

6y + 4z = 6 Eqn A times 2

------------------------------------ Subtract

-4y = -4

y = 1

-----------------

z = 0

-------------------

x = 1