Question

d) — 4х + 9y = 9x — Зу = -6

Answer 1

The system of equation is:

$\begin{gathered} -4x+9y=9 \\ x-3y=-6 \end{gathered}$

Now we can solve the secon equation for x so:

$x=3y-6$

Now we can replace this value of x in the first equation so:

$-4(3y-6)+9y=9$

and we solve for y so:

$\begin{gathered} -12y+24+9y=9 \\ 24-9=12y-9y \\ 15=3y \\ 5=y \end{gathered}$

Now we can replace y in the first equation to find the value of x so:

$\begin{gathered} x=3(5)-6 \\ x=15-6 \\ x=9 \end{gathered}$

$undefined$