# How do you solve the following system?: #3x +2y =8 , 6x +9y = -3#

##### 1 Answer

Dec 1, 2015

#### Explanation:

We multiply the first equation by

#6x + 4y = 16#

#6x + 9y = -3#

Subtract the first equation from the second:

#6x + 9y = -3#

#- (6y + 4y = 16)#

In other words we add vertically:

#6x + 9y = -3#

#- 6y - 4y = -16#

The result is

#0 + 5y = -19#

So

We substitute this value of y into the first equation:

#3x - 38/5 = 8#

Therefore

So

#3x = (40 + 38)/5 = 78/5# and#x = 26/5#