Question

Solve the system of equation by substitution -4x + 4y = -166x + y = -4

Answer 1

We have the following system of equations:

`\begin{gathered} -4x+4y=-16\ldots(A) \\ 6x+y=-4\ldots(B) \end{gathered}`

Solving by substitution method.

We will first eliminate y to get the value of x.

If we move 6x in equation B to the right hand side, we get

`y=-4-6x\ldots(C)`

Now, we can substitute this result into equation A. It yields

`-4x+4(-4-6x)=-16`

By clearing parentheses, we get

`-4x-16-24x=-16`

By combining similar terms. we have

`-28x-16=-16`

If we move -16 to the right hand side, we obtain

`\begin{gathered} -28x=-16+16 \\ -28x=0 \end{gathered}`

then, our first result is x=0.

Now, by substituting this result into equation C we get

`\begin{gathered} y=-4-6(0) \\ y=-4 \end{gathered}`

Therefore, the answer is

`\begin{gathered} x=0 \\ y=-4 \end{gathered}`