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

Apr 24, 2017

Se the entire solution process below:

#### Explanation:

Substitute $\textcolor{red}{3}$ for $\textcolor{red}{x}$ and $\textcolor{b l u e}{2}$ for $\textcolor{b l u e}{y}$ in each equation, calculate each side of the equation. If both sides of each equation are equal the ordered pair is a solution for the equation otherwise it is not.

$\textcolor{b l u e}{y} = 2 \textcolor{red}{x} - 3$ becomes:

$\textcolor{b l u e}{2} = \left(2 \cdot \textcolor{red}{3}\right) - 3$

$2 = 6 - 3$

$2 \ne 3$

Therefore $\left(3 , 2\right)$ is not a solution for this system of equations.