Question

How do you solve the following system?: `5x +3y =2 , -x +5y = 4`

Answer 1

You asked 'how' to solve. So I have taken it to a point where you can take over, The layout given is an example of good mathematics.

Explanation:

Given:
`5x+3y=2........................................(1)`
`-x+5y=4.......................................(2)`

Rewrite 1 and 2 as:

`y= -5/3x+2/3................................(1_a)`
`y=1/5x+4/5......................................(2_a)`

But `(1_a) = y = (2_a)`

So

`-5/3x+2/3 = 1/5x+4/5`

This can now be solved by collecting like terms and isolating `x`.