How do you solve the system of equations #7x - 6y = 9# and #5x + 2y = 19#?

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Answer 1 · 2017-05-06T17:17:00

#x=3#
#y=2#

Use elimination:

Multiply the third equation by #3#:

So you have:

#7x-6y=9#
#15x+6y=57#

Add these equations together:

#22x=66#

Solve for #x#:

#x=3#

Now plug this back into one of the original equations. I'll choose the second one:

#5(3)+2y=19#

Solve for #y#

#2y=4#

#y=2#

If you want, you can check to see if this works by plugging into the other equation:

#7(3)-6(2)=9#

#21-12=9#

#9=9#