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=(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)