# How do you solve #4x+3y=-7# and #5x-2y=-26#?

##### 1 Answer

May 6, 2016

Combine the equations to eliminate

#{ (x = -4), (y = 3) :}#

#### Explanation:

Multiply the first equation by

#{ (8x+6y = -14), (15x-6y=-78) :}#

Add these two equations together to get:

#23x = -92#

Divide both sides by

#x = -4#

Substitute this value of

#-7 = 4(-4)+3y = -16+3y#

Add

#3y = 9#

Divide both sides by

#y = 3#