Question

How do you solve 6x+y=30 and 7x+2y=32?

Answer 1

`x=5.6`
`y=-3.6`

Explanation:

Multiplying both the sides of the equation `6x+y=30` by `2`
We get
`12x+2y=60`
`7x+2y=32`
Subtracting `7x+2y=32` from `12x+2y=60`
we get
`12x-7x+2y-2y=60-32`
or
`5x+0=28`
or
`5x=28`
or
`x=28/5`
or
`x=5.6`--------------------------Ans `1`

By plugging the value `x=5.6` in the equation `6x+y=30`
We get

`6times5.6+y=30`
or
`33.6+y=30`
or
`y=30-33.6`
or
`y=-3.6`------------------------------Ans `2`