Question

Solve the system of equations 6, x, plus, 3, y, equals, 96x+3y=9 and minus, 9, x, minus, 2, y, equals, 9−9x−2y=9 by combining the equations.

Answer 1

To combine the equations, we add or subtract the left sides and the right sides of the equations separately.

Adding the left sides: 6x + 3y + (-9x) + (-2y) = 6x - 9x + 3y - 2y = -3x + y.

Adding the right sides: 96 + 9 = 105.

So we have the equation: -3x + y = 105.

Therefore, the system of equations can be combined as follows:

-3x + y = 105

and

9x + 2y = 9.