# Solve the system 4x+2y=46 20x-3y=9

Solve the system
$4x+2y=46$
$20x-3y=9$
You can still ask an expert for help

• Questions are typically answered in as fast as 30 minutes

Solve your problem for the price of one coffee

• Math expert for every subject
• Pay only if we can solve it

Litzy Fuentes
$4x+2y=46$ (1)
$20x-3y=9$ (2)
Multiply equation (1) by 5
$20x+10y=230$ (3)
Subtract equation (3) and (2)
$13y=221$
$y=\frac{221}{13}$
$y=17$
Then,
$20x=9+3y$
$20x=9+3\left(17\right)$
$20x=60$
$x=\frac{60}{20}=3$
The answer is $\left(3,17\right)$