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.
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.