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 :)