How do you solve the following system: -x+6y=12, 3x+4y=-10 ?

1 Answer
Sep 8, 2016

x=-54/11

y=13/11

Explanation:

-x+6y=12 and 3x+4y=-10

or

x=6y-12

or

x=6(y-2)

Multiplying -x+6y=12 by 3

We get

-3x+18y=36

By adding -3x+18y=36 with 3x+4y=-10

We get

-3x+18y+3x+4y=36-10

or

22y=26

or

y=26/22

or

y=13/11----------------------Ans 1

By plugging the value y=13/11 in the equation x=6(y-2)

We get

x=6(13/11-2)

or

x=6 times (13-22)/11

or

x=6times (-9/11)

or

x=-54/11---------------------Ans 2