Question

Solve the system of equations using the linear combination method.

{4x−3y=12
{7x−3y=3
(its supposed to look like one big { that makes both of the equations go in it

Enter your answers in the boxes.

x =
y =

Answer 1

y is the easiest to get rid of, you need one equation to have a +3

(Multiply one whole equation by -1)

Answer 2

\[4x-3y=12 \] and \[7x-3y=3\]
Solve x for \[4x-3y=12\] \[4x−3y+3y=12+3y \]\[4x=3y+12 \]\[4x/4 = 3y+12/4\]\[X=3/4y+3\]\[7x−3y=3 \]\[7(3/4y+3)−3y=3\]\[9/4y+21=3\]\[9/4y+21+−21=3+−21\]\[9/4y=−18\]\[9/4y/9/4 = -18/9/4\]\[y=−8 \]\[x=3/4y+3\]\[x=3/4(−8)+3\]\[x=−3 \]

\[x=−3 \]\[y=-8\]