# How do you solve the following system: x+y=4 , -6x + 5y = 4 ?

Jan 17, 2016

$x = \frac{16}{11} \mathmr{and} y = \frac{28}{11}$

#### Explanation:

x + y = 4 (1)
-6x +5y =4 (2)
Multiplying Equation (1)by -6 we get
-6x -6y = -24 (1)
-6x +5y = 4 (2)
Subtracting (2) from (1) we get -11y = -28 $\therefore y = \frac{28}{11} \mathmr{and} x = 4 - \left(\frac{28}{11}\right) \mathmr{and} x = \frac{16}{11}$ [answer]