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GRAPHING.

SYSTEMS OF EQUATIONS

EX 1: Solve the system:

y = 4x - 5

y = -2x + 1

SOLUTION:

EX 3: Solve the system:

y = 3x - 1

y = 3x - 4

SOLUTION:

EX 2: Solve the system:

y = 2

y = ½x + 1

SOLUTION:

EX 4: Solve the system:

y = -x + 4

y = ¼x - 1

SOLUTION:

EX 5: Solve the system:

x + y = 5 and y = 3x - 3

SOLUTION:

EX 6: Solve the system:

-4x + 2y = 2 and y = 2x + 1

SOLUTION:

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ONE SOLUTION

NO SOLUTION

INFINITE.SOLUTION

STEPS to GRAPH.

1. Make sure both equations are in

slope-intercept form (______________).

If not, rewrite to solve for ___.

2. For each equation, identify the _______ ( )

and _____________ ( ) value.

3. Graph each equation.

  • Plot the ______________
  • From the y-intercept apply the ______ to find the remaining points.
  • ___________ all the points with a line!

4. Locate the point the 2 equations ___________.

This is your ____________ ( , )

BOX IT.