How do you solve the system of equations #2x + 5y = 6# and #4x - 2y = 1#?

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Answer 1 · 2017-11-25T13:03:35

#x=17/24#
#y=11/12#

It is easier to use the elimination method instead of substitution in this case.

First, line up the equations. You get:

#2x+5y=6#
#4x-2y=1#

Since #4x# is divisible by #2x#, we will eliminate the x in the equations.

Therefore, multiply the first equation by 2.

#2x+5y=6# becomes #4x+10y=12#

Now, line the equations up again and subtract them.
#4x+10y=12#
#4x-2y=1#
After subtraction, you get #12y=11#

Therefore, #y=11/12# Find the value of #x# by plugging the value of #y# into one of the equations to get #x=17/24# .