# How do you solve the simultaneous equations #2x+3y=6 # and #3x-2y=22#?

##### 1 Answer

#### Explanation:

Simply multiply the first equation thoroughly by

After the described multiplication, we get the result as

#4x + 6y = 12#

#9x - 6y = 66#

#stackrel("---------------------------")#

#13x = 78 implies x = 78/13 = 6#

Putting the value of

#2 * 6 + 3y = 6#

#3y = 6 - 12#

#3y = -6 implies x = ((-6))/3 = -2#