Question

Solve each systems of the equations by elimination. 1* x-y=-13 x+y=-52* 2x-9y=17 2x+3y=-19

Answer 1

Let us solve the given system of equations by using the elimination method.

Question 1:

`\begin{gathered} x-y=-13\quad eq.1 \\ x+y=-5\quad eq.2 \end{gathered}`

Add these two equations so that the y variable cancels out

So, the value of x can be found now

`\begin{gathered} 2x=-18 \\ x=-(18)/(2) \\ x=-9 \end{gathered}`

Substitute the value x into any of the two equations to find the value of y.

`\begin{gathered} x-y=-13 \\ -9-y=-13 \\ y=-9+13 \\ y=4 \end{gathered}`

Therefore, the solution of this system is x = -9 and y = 4