Pearson Algebra 1 Common Core, 2011
PA
Pearson Algebra 1 Common Core, 2011 View details
1. Solving Systems by Graphing
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Exercise 18 Page 367

When does these equations intersect?

(- 3,5)

Practice makes perfect

To solve the system of equations we can graph each equation.

Graphing the System

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.

Checking Our Solution

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.