Warm-up 1. 5x – 4 = 2x + 8 2. -4(x + 2) + 3x = 2 Solve for the variable 1. 5x – 4 = 2x + 8 2. -4(x + 2) + 3x = 2.

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Presentation transcript:

Warm-up 1. 5x – 4 = 2x + 8 2. -4(x + 2) + 3x = 2 Solve for the variable 1. 5x – 4 = 2x + 8 2. -4(x + 2) + 3x = 2

Graph to find the solution.

*Homework Questions*

**Skills Check**

Foundations of Algebra UNIT QUESTION: How do I justify and solve the solution to a system of equations or inequalities? Standard: MCC9-12.A.REI.1, 3, 5, 6, and 12 Today’s Question: When is it better to use substitution than elimination for solving systems? Standard: MCC9-12.A.REI.6

Solve Systems of Equations by Substitution

One equation will have either x or y by itself, or can be solved for x or y easily. Substitute the expression from Step 1 into the other equation and solve for the other variable. Substitute the value from Step 2 into the equation from Step 1 and solve. Your solution is the ordered pair formed by x & y. Check the solution in each of the original equations. Substitution

Ex. 1 (-4, 16)

Ex. 2 (2, 1)

Ex. 3 (-2, -3)

Ex. 4 (8, 22)

Ex. 5 No Solution

Ex. 6 (12, -1)

Finish the back for HW