Question

How do you solve the following system of equations?: `2x + 15y = -4 , -3x + 3y=10`?

Answer 1

`x=-54/17` and `y=8/51`

Explanation:

`2x+15y=-4` `.................(i)`
`-3x+3y=10` `...............(ii)`

Multiply `(i)` by `3` and `(ii)` by `2`

`implies 6x+45y=-12`
`and -6x+6y=20`

By addition we have

`51y=8`

`implies y=8/51`

Put `y=8/51` in `(i)`

`implies 2x+15(8/51)=-4`

`implies 102x+120=-204`

`implies 102x=-324`

`implies x=-54/17`