Question

Solving using elimination 5x+ 6 y = -19 5 x + 5 y = -20

Answer 1

We have to solve this system of equations by elimination.

We can substract the second equation directly from the first equation in order to cancel x.

Then, we can solve for y:

`\begin{gathered} (5x+6y)-(5x+5y)=-19-(-20) \\ 5x-5x+6y-5y=-19+20 \\ 0x+1y=1 \\ y=1 \end{gathered}`

With the value of y, we can solve for x:

`\begin{gathered} 5x+5y=-20 \\ 5x+5\cdot1=-20 \\ 5x+5=-20 \\ 5x=-20-5 \\ 5x=-25 \\ x=-(25)/(5) \\ x=-5 \end{gathered}`

Answer: x=-5 and y=1