How do you solve the system of equations #9x - 11y = 25# and #y = 4x - 15#?

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Answer 1 · 2018-01-01T23:06:18

#(4,1)#

Since we know that #y=4x-15#, we can plug that into the first equation. Doing so, we get:

#9x-11(4x-15)=25#

Doing some algebra:

#9x-44x+165=25#

#-35x=-140#

#x=4#

Now that we know one variable, it's easy to find the other:

#y=4(4)-15#

#y=1#