A1-U4.1a Lesson: Solving Systems w/ Graphing

Objective:

We are going to solve systems of equations by identifying the intersection (solution) of graphed linear equations.

Intersection of two or more equations, expressed as a coordinate.

​System Solution

Two or more equations that use the same variables, and are to be solved simultaneously.

​System of Equations

​procedures:

1. Convert each equation to slope intercept form.

2. Graph each equation of the system.

3. Find the intersection (x, y) of the lines.

4. Express the coordinate as the solution.

Find the solution to the system:

y = 3x + 1
y= 2x + 2

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​Example 1:

Find the solution to the system:

y = -2x + 5
y= 1x/2

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​Example 2:

Find the solution to the system:

y = x + 1
5x - 5y = -15

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​Example 3: