Whether #(2,2)# is a solution to the equations #3x-y=4# and #2x+y=1#?

1 Answer
Mar 22, 2017

No.

Explanation:

To check whether #(2,2)# is a solution to given set of equations or not, one need to put the values #x=2# (the first number) and #y=2# (the second number) in each equation and check whether they are satisfied or not.

In the first equation #3x-y=4#, we have

#3xx2-2=6-2=4#, hence this is satisfied.

But for #2x+y=1#,

we get #2xx2+2=4+2=6# and not #1#

hence second equation is not satisfied.

As for #(2,2)# to be solution for system of equations, it should satisfy both the equations, answer is No.