Question

Enter the coordinates of the solution to this system of equations

Answer 1

Substract equation -2x + y = 5 from equation -5x + y = -4 to elimate the y terms from the equation and obtrain the value of x.

`\begin{gathered} -5x+y-(-2x+y)=-4-5 \\ -5x+y+2x-y=-9 \\ -3x=-9 \\ x=-(9)/(-3) \\ =3 \end{gathered}`

Substitute 3 for x in equation -2x + y = 5 to obtain the value of y.

`\begin{gathered} -2\cdot3+y=5 \\ -6+y=5 \\ y=11 \end{gathered}`

So coordinates of the solution of the system of equation is (3,11).