How do you solve the system of equations #3x - 7y = 24# and #- 5x + 4y = - 40#?

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Answer 1 · 2018-05-11T03:12:40

#x=8, y=0#

#3x−7y=24#

#−5x +4y=−40#

We eliminate #y# by multiplying the first equation by 4, the second by 7, and adding.

#12 x - 28 y = 96 #

#-35 x + 28 y = -280 #

# -23 x = -184 #

#x = 8 #

#3(8) - 7 y = 24 #

#y = 0#

graph{(3x-7y-24)(-5x+4y+40)=0 [-10, 10, -5, 5]}