How do you solve x+2y=4 and 3x-4y=7?

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Answer 1 · 2016-04-01T18:08:13

Solving by substitution:

#x + 2y = 4 -> x = 4 - 2y#

#3(4 - 2y) - 4y = 7#

#12 - 6y - 4y = 7#

#-10y = 7 - 12#

#-10y = -5#

#y = 1/2#

#x + 2(1/2) = 4#

#x + 1 = 4#

#x = 3#

Your solution set is #{3, 1/2}#. Don't forget to present your solutions in the form #{x, y}#.

Hopefully this helps!