How do you solve this system of equations: #3y - 7x = x - 82; 6x + 14= 7x - y#?

1 Answer
Jim G.
Feb 17, 2018

#(x,y)to(8,-6)#

Explanation:

#"the first step is to simplify the equations by collecting"#
#"like terms"#

#-8x+3y=-82to(1)#

#x-y=14to(2)#

#"to eliminate y multiply "(2)" by 3"#

#3x-3y=42to(3)"#

#"add "(1)" and "(3)" term by term to eliminate y"#

#(-8x+3x)+(3y-3y)=(-82+42)#

#rArr-5x=-40#

#"divide both sides by "-5#

#(cancel(-5) x)/cancel(-5)=(-40)/(-5)#

#rArrx=8#

#"substitute "x=8" into equation "(2)#

#8-y=14#

#rArr-y=14-8=6rArry=-6#

#rArr"solution is "(8,-6)#

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