Question

A variable needs to be eliminated to solve the system of equations below. Choose the

correct first step.
7x +y = 33
-7x + 6y = -47

Answer 1

x=5 and y=-2

Explanation:

The given system of equations are :

7x +y = 33 ....(1)

-7x + 6y = -47 ....(2)

We need to find the solution of the given equations.

Adding equation (1) and (2) we get :

7x +y + (-7x) +6y = 33+(-47)

7y = -14

y = -2

Put the value of y in equation (1).

7x +(-2) = 33

7x-2=33

7x=33+2

7x = 35

x = 5

Hence, the solution of the above equations are x=5 and y=-2