Question

I need to know how to solve this equation i’m having hard times doing it. i forgot how to do it.

Answer 1

The solution of the system is (3,-4).

Explanation:

Solve the following system of equations using the substitution method, which consists in isolate one of the variables in one of the equations and then plugging it into the other one.

Therefore, for the given system of linear equation:

`\begin{gathered} 2x-4y=22\text{ \lparen1\rparen} \\ x+y=-1\text{ \lparen2\rparen} \end{gathered}`

Isolate y in the second equation, and plug it into the first one:

`\begin{gathered} y=-1-x\text{ \lparen2\rparen} \\ (2)\text{ into \lparen1\rparen} \\ 2x-4(-1-x)=22 \\ 2x+4+4x=22 \\ 6x=22-4 \\ x=(18)/(6) \\ x=3 \end{gathered}`

Substitute x=3 into the second equation and solve for ''y'':

`\begin{gathered} y=-1-3 \\ y=-4 \end{gathered}`

The solution of the system is (3,-4).