Question #b2f17

1 Answer
Sep 13, 2017

#y = -4.5# and #x = 4.75#

Explanation:

First, let's try to solve the first equation, which is #2x=14+y#
We will add #-y# to both sides. #2x+(-y)=14+y+(-y)#
Therefore, #2x-y=14#.
Then we will add #-2x# to both sides.
#2x-y+(-2x)=14+(-2x)#
Then, #(-y)=(-2x)+14#

Divide both sides by #1# to get #y=2x-14#
Now let's zoom in on to #4x+2y=10#.
Since we know #y=2x-14#, that means #4x+2(2x-14)=10#.
We will simplify both sides of the equation. That will get us #8x-28=10#. Then we can add #28# to both sides. #8x-28+28=10+28#.
That would mean #8x=38# and then #x=19/4# or #4.75#.
Since we know #x=19/4# and #y=2x-14#, we can change #y=2x-14# to #y=2(19/4)-14#
And that would mean #y=-9/2# or #-4.5#.
There you go! #x=19/4# or #4.75# and #y=-9/2# or #-4.5#
Hope this helps.