Question

How do you solve the following linear system: `3y+8x=7 , 7x-4y=8`?

Answer 1

`x=52/53` and `y=-15/53`

Explanation:

`4*(3y+8x)+3*(7x-4y)=4*7+3*8`

`12y+32x+21x-12y=28+24`

`53x=52`, so `x=52/53`

Thus,

`3y+8*52/53=7`

`159y+416=371`

`159y=-45`

`y=(-45)/159=-15/53`