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

Mar 22, 2017

No.

#### Explanation:

To check whether $\left(2 , 2\right)$ 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 $3 x - y = 4$, we have

$3 \times 2 - 2 = 6 - 2 = 4$, hence this is satisfied.

But for $2 x + y = 1$,

we get $2 \times 2 + 2 = 4 + 2 = 6$ and not $1$

hence second equation is not satisfied.

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