Question

I need help with this question Solve for the first variable in one of the equation:Correct: EQ1 = x - 4y = -11

Answer 1

Given the equations:

`\begin{gathered} x-4y=-11 \\ 2x+y=23 \end{gathered}`

For the first equation:

`\begin{gathered} x-4y+4y=-11+4y \\ x=-11+4y \end{gathered}`

Substitute x in the second equation:

`2(-11+4y)+y=23`

Simplify:

`\begin{gathered} -22+8y+y=23 \\ -22+9y=23 \end{gathered}`

Solve for y:

`\begin{gathered} -22+9y+22=23+22 \\ 9y=45 \\ (9y)/(9)=(45)/(9) \\ y=5 \end{gathered}`

Then, substitute y = 5 in x:

`x=-11+4(5)=-11+20=9`

Answer:

x = 9

y = 5