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So, this was the first system that we looked at above.We already know the solution, but this will give us a chance to verify the values that we wrote down for the solution.
Finally, do NOT forget to go back and find the \(y\) portion of the solution.
For the example above \(x = 2\) and \(y = - 1\) is a solution to the system. \[\begin3\left( 2 \right) - \left( \right) & = 7\ 2\left( 2 \right) 3\left( \right) & = 1\end\] So, sure enough that pair of numbers is a solution to the system. This will be the very first system that we solve when we get into examples.
Note that it is important that the pair of numbers satisfy both equations.
\[3x - 7 = y\] Now, substitute this into the second equation.
\[2x 3\left( \right) = 1\] This is an equation in \(x\) that we can solve so let’s do that.