# How do you solve 6x+y=30 and 7x+2y=32?

Aug 14, 2016

$x = 5.6$
$y = - 3.6$

#### Explanation:

Multiplying both the sides of the equation $6 x + y = 30$ by $2$
We get
$12 x + 2 y = 60$
$7 x + 2 y = 32$
Subtracting $7 x + 2 y = 32$ from $12 x + 2 y = 60$
we get
$12 x - 7 x + 2 y - 2 y = 60 - 32$
or
$5 x + 0 = 28$
or
$5 x = 28$
or
$x = \frac{28}{5}$
or
$x = 5.6$--------------------------Ans $1$

By plugging the value $x = 5.6$ in the equation $6 x + y = 30$
We get

$6 \times 5.6 + y = 30$
or
$33.6 + y = 30$
or
$y = 30 - 33.6$
or
$y = - 3.6$------------------------------Ans $2$