# Is (-5, -9) a solution to this system of equations 18x-12y=18, 11x-6y=-1?

Dec 5, 2016

Yes , $\left(- 5 , - 9\right)$ is a solution of both the equations.

#### Explanation:

Putting $x = - 5 \mathmr{and} y = - 9$ in equation (1), $18 x - 12 y = 18$ we get LHS=$18 \cdot \left(- 5\right) - 12 \cdot \left(- 9\right) = - 90 + 108 = 18 \therefore$LHS=RHS. So $\left(- 5 , - 9\right)$ is a solution.

Putting $x = - 5 \mathmr{and} y = - 9$ in equation (2), $11 x - 6 y = - 1$ we get LHS=$11 \cdot \left(- 5\right) - 6 \cdot \left(- 9\right) = - 55 + 54 = - 1 \therefore$LHS=RHS. So $\left(- 5 , - 9\right)$ is a solution.

Yes , $\left(- 5 , - 9\right)$ is a solution of both the equations.[Ans]