# How do you solve the system of linear equations -3x + 2y = 8 and 7x - 4y = 16?

Feb 4, 2017

$x = 32 , y = 52.$

#### Explanation:

Multiplying the ${1}^{s t} \text{ eqn. by "2" gives, } - 6 x + 4 y = 16$,

and, adding this to the ${2}^{n d}$ eqn., we get,

$- 6 x + \cancel{4 y} + 7 x \cancel{- 4 y} = 16 + 16 , i . e . , x = 32.$

Then, using this in the ${1}^{s t}$ eqn., we get,

$- 3 \left(32\right) + 2 y = 8 \Rightarrow - 96 + 2 y = 8 \Rightarrow 2 y = 8 + 96 = 104$

$\therefore y = \frac{104}{2} = 52.$

Hence, the Soln. $x = 32 , y = 52.$