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# Solving Two-Step Equations

Solving Two-Step Equations. A two-step equation involves two operations. . To solve a two step equation, we need to use the properties of equality and inverse operations to form a series of simpler equivalent equations. You can use the properties of equality repeatedly to isolate the variable. .

## Solving Two-Step Equations

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1. Solving Two-Step Equations

2. A two-step equation involves two operations. • To solve a two step equation, we need to use the properties of equality and inverse operations to form a series of simpler equivalent equations. You can use the properties of equality repeatedly to isolate the variable.

3. Step-by-Step instructions for solving a Two-Step Equation 2x + 3 = 15 2x + 3 – 3= 15 – 3 Subtract 3 from each side. 2x = 12 Simplify. 2x/2 = 12/2 Divide each side by 2 X = 6 Simplify What do you need to do now?

4. Your turn. 5x + 12 = -13

5. Your turn -x – 4 = 9

6. Solving with two terms in the numerator (X – 7)/3 = -12 3[(X -7)/3] = (-12)3 Multiply each side by 3 X – 7 = -36 Simplify X – 7 + 7 = -36 + 7 Add 7 to each side. X = -29 Simplify You know what to do next!

7. Your turn (y-1)/4 = -2

8. Your Turn • (1/2)a + 5 = 18

9. Your turn 5 = t/2 - 3

10. Your turn 6 = (x – 2)/4

11. Your turn • What is the solution of –t + 8 = 3? Justify each step.

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