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:

$\begin{gathered} -22+9y+22=23+22 \\ 9y=45 \\ \frac{9y}{9}=\frac{45}{9} \\ y=5 \end{gathered}$

Then, substitute y = 5 in x:

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

Answer:

x = 9

y = 5