How do you solve #3x+5y=36# and #-9x+y=36# using substitution?

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How do you solve #3x+5y=36# and #-9x+y=36# using substitution?

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Answer 1 · 2016-03-14T19:00:03

#y=4#
#x=-4/3#

Explanation:

#color(red)(3x+5y)=color(green)(36)" (1)"#
#color(red)(-9x+y)=color(green)(36)#
#color(red)(3x+5y=-9x+y)#
#3x+9x=y-5y#
#12x=-4y#
#x=-(4y)/12#
#x=-y/3" "(2)#
#"let's use the equation (1)"#
#3(-y/3)+5y=36#
#-y+5y=36#
#4y=36#
#y=36/9" "y=4#
#"using the equation (2):"#
#x=-4/3#

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How do you solve #3x+5y=36# and #-9x+y=36# using substitution?

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