Outro W6

Revie of the week

You can find the key concepts you studied this week in the following short reviews

5.2 Solving Systems of Equations by Substitution

Solve a system of equations by substitution
1. Step 1. Solve one of the equations for either variable.
2. Step 2. Substitute the expression from Step 1 into the other equation.
3. Step 3. Solve the resulting equation.
4. Step 4. Substitute the solution in Step 3 into one of the original equations to find the other variable.
5. Step 5. Write the solution as an ordered pair.
6. Step 6. Check that the ordered pair is a solution to both original equations.

5.3 Solve Systems of Equations by Elimination

To Solve a System of Equations by Elimination
1. Step 1. Write both equations in standard form. If any coefficients are fractions, clear them.
2. Step 2. Make the coefficients of one variable opposites.
  - Decide which variable you will eliminate.
  - Multiply one or both equations so that the coefficients of that variable are opposites.
3. Step 3. Add the equations resulting from Step 2 to eliminate one variable.
4. Step 4. Solve for the remaining variable.
5. Step 5. Substitute the solution from Step 4 into one of the original equations. Then solve for the other variable.
6. Step 6. Write the solution as an ordered pair.
7. Step 7. Check that the ordered pair is a solution to both original equations.

5.6 Graphing Systems of Linear Inequalities

To Solve a System of Linear Inequalities by Graphing
1. Step 1. Graph the first inequality.
  - Graph the boundary line.
  - Shade in the side of the boundary line where the inequality is true.
2. Step 2. On the same grid, graph the second inequality.
  - Graph the boundary line.
  - Shade in the side of that boundary line where the inequality is true.
3. Step 3. The solution is the region where the shading overlaps.
4. Step 4. Check by choosing a test point.

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