Question

2x + 3y = 13
5x – 3y = 1
What is the value of x?
What is the value of y?

Answer 1

Use elimination.

Add the equations by columns to get the third equation,

`2x+5x=7x`

`3y-3y=0`

`13+1=14`

The new equation has only one unknown,
`7x+0=14` so
`x=2`.

Now plug in the fact that
`x=2` into one of the equations and solve for y (I will pick 2nd equation),

`5\cdot2-3y=1`

`-3y=-9\implies y=3`.

The value of
`x=2` and
`y=3`.

Hope this helps :)