# How do you solve the following linear system:  10x + 25y = 55 , x + y = 3 ?

Jul 11, 2018

$x = \frac{4}{3} , y = \frac{5}{3}$

#### Explanation:

Dividing the first equation by $5$ (for simplification)
$2 x + 5 y = 11$
$x + y = 3$

Multiplying the second equation by $- 2$
and adding to the first

$3 y = 5$
so
$y = \frac{5}{3}$

we get with the solution above $x$

$x = 3 - \frac{5}{3} = \frac{9 - 5}{3} = \frac{4}{3}$