5.1 & 5.2 Review (8th)

5.1 & 5.2 Review (8th)

Graphing & Substitution Review

5.1 Solving Linear Equations Graphing Method

Put both equations in slope-intercept form (y=mx+b) and graph

or

Solve for x and y intercepts and graph

The solution is where the two lines intersect (cross).

Fill in the Blank

Solve the system of linear equations by graphing.

y = -x + 2

y = 2x - 4

Enter the solution as (x,y)

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Solve the system of linear equations by graphing.

y = 1/3x - 2

y = 1/2x - 3

Enter the solution as (x,y)

5.2 Solving Linear Equations Substitution Method

1. Solve one of the equations for x or y

2. Substitute

3. Distributive (if necessary)

4. Combine like terms

5. Solve the two-step equation

6. Plug in to find the other variable

Fill in the Blank

Solve the system of linear equations by substitution.

y = x + 1

2x – 3y = −3

Write the solution as (x,y)

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Solve the system of linear equations by substitution.

x = 6y –11

8x + 6y = 20