Question

Solve the system by substitution.10x + 5y = -50 y= -x

Answer 1

Substitute -x for y in the equation 10x + 5y =-50 to obtain the value of x.

`\begin{gathered} 10x+5\cdot(-x)=-50 \\ 5x=-50 \\ x=-10 \end{gathered}`

Substitute -10 for x in the equation y = -x to obtain the value of y.

`\begin{gathered} y=-(-10) \\ =10 \end{gathered}`

Thus, solution of system of equation is (-10,10).