Question

solve the system of equations 6x+3y=124x-y=14 (5,-6)

Answer 1

We will first clear y from the second equation.

$4x-14=y$

which is equivalent to

$y=4x-14$

now, we change y by 4x-14 in the first equation and the solve for x.

$6x+3(4x-14)=12$$6x+3(4x)-3(14)=12$$6x+12x=12+42$$x=\frac{54}{18}=3$

then x=3 and we replace it in the second equation to find the y value:

$4(3)-y=14\Rightarrow y=12-14=-2$then the solution to this system of equations is the ordered pair (3,-2)