Question

How do you solve 7/4x – 5/2y = 2 and 1/4x + 7/2y = 8?

Answer 1

`x=4`
`y=2`

Explanation:

From the give `7/4x-5/2y=2` and `1/4x+7/2y=8`

Multiply both equations by 4 to get rid of the fractions
so that the two equations become

`7x-10y=8" " "`call this the 1st equation
`x+14y=32" " "`call this the 2nd equation

Multiply again the 2nd equation by 7 to make it

`7x+98y=224`call this the new 2nd equation

We will use now the new 2nd and the 1st respectively

`7x+98y=224`
`7x-10y=8" " "`

Perform subtraction to obtain

`108y=216`

then `y=2`

Solve for x now using the old second equation `x+14y=32`
and `y=2`

`x+14y=32`
`x+14(2)=32`
`x=32-28`
`x=4`

Our solution is `x=4` and `y=2`

God bless...I hope the explanation is useful..