How do you solve the system of equations #3x + 7y = 8# and #2y = - 9x + 24#?

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Answer 1 · 2017-07-26T12:35:35

See below.

We see that by multiplying the first equation by #3#, we can eliminate the #x# from the equation.

#3x+7y=8->9x+21y=24#

and

#-9x+24=2y#

Adding,

#21y+24=2y+24#, so #color(blue)(y=0#

Plugging this in,

#-9x+24=0#

#x=24/9# so #color(blue)(x=8/3#

Our final solution is #(8/3,0)#.