How do you solve 2x + 3y = 6 and x + 2y = 5?

Question

7915 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2015-11-21T11:06:47

#x=-3#, #y=4#.

From the second equation, you know that #x=5-2y#. Substitute this expression for #x# in the first equation to get

#2(5-2y)+3y=6#

#10-4y+3y=6#

#-y=-4#

#y=4#

Now that we have found #y#, we can find #x# using

#x=5-2y -> x=5-2*4=-3#