# How do you substitute to determine if the ordered pair (3, 2) is a solution of the system of equations y=x-1 and y=3x-7?

Sep 9, 2016

The ordered pair $\left(3 , 2\right)$ is a solution of the system of equations $y = x - 1$ and $y = 3 x - 7$.

#### Explanation:

To determine whether the ordered pair $\left(3 , 2\right)$ is a solution of the system of equations $y = x - 1$ and $y = 3 x - 7$ or not, we need to put these values in the two given equation and see, whether these equality in the equation is satisfied or not. Further $\left(3 , 2\right)$ represents values of $x$ and $y$ in that order i.e. $x = 3$ and $y = 2$.

Putting these values in $y = x - 1$, we get $2 = 3 - 1$ i.e. $2 = 2$, hence $\left(3 , 2\right)$ satisfies $y = x - 1$.

and putting these values in $y = 3 x - 7$, we get $2 = 3 \times 3 - 7$ i.e. $2 = 9 - 7$ or $2 = 2$, hence $\left(3 , 2\right)$ also satisfies $y = 3 x - 7$.

As $\left(3 , 2\right)$ satisfies both the equations, it is a solution of the system of equations $y = x - 1$ and $y = 3 x - 7$.