3x + y = 11 3x − 2y = 5?

1 Answer

I guess you're finding the values of #x# and #y#. The answer would be
#x=3#, and #y=2#

Explanation:

We can connect the two equations by making one side from each equation the same.

Firstly, we multiply the equations to get the number 55 on one side of each equation

#5(3x+y)=5(11)#

#11(3x-2y)=11(5)#

Let's expand the equations:

#15x+5y=55#

#33x-22y=55#

And connect them:

#15x+5y=55=33x-22y#

#15x+5y=33x-22y#

#15x-15x+5y+22y=33x-22y-15x+22y#

#27y=18x#

#3y=2x#

Now we take the equation #3x+y=11#, and convert the #y# to #x#.

#3x+(2/3)x=11#

#(11/3)x=11#

#x=3#
#y=2#