How do you solve the following system: #3x - 4y = -23, 5x+y=-7 #?

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Answer 1 · 2018-07-27T14:23:49

#x=-51/23, \ \ \ y=94/23#

Given equations

#3x-4y=-23\ ......(1)#

#5x+y=-7\ .........(2)#

Multiplying (2) by #4# & adding to (1), we get

#3x-4y+4(5x+y)=-23+4(-7)#

#23x=-51#

#x=-51/23#

setting the value of #x# in (1), we get

#3(-51/23)-4y=-23#

#4y=23-153/23#

#y=\frac{376}{23\cdot 4}#

#y=94/23#

Hence the solution is #x=-51/23, \ \ \ y=94/23#