1. Solving Systems by Graphing
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When does these equations intersect?
(- 3,5)
To solve the system of equations we can graph each equation.
The intersection of the lines is going to be the solution. The first equation is x=- 3, which tells us that for any y-value, x is always equal to - 3 and it is a vertical line. The second equation is y=5, a horizontal line that passes through 5 on the y-axis.
As we can see, the graphs intersect at ( - 3, 5). This is the solution to the system.
To check our answer, we will substitute the solution into the given equations. If the substitutions result in true statements, then we will know that we have found the correct answer.
| Given | Substitute (-3,5) |
|---|---|
| x=- 3 | - 3=- 3 |
| y=5 | 5=5 |
Our solution is correct.