Download presentation

Presentation is loading. Please wait.

1
**Solving Equations with Variables on Both Sides**

Sol A.4 Chapter Lesson 2-4

2
**Step 1 – Use the Distributive Property to remove any grouping symbols**

Step 1 – Use the Distributive Property to remove any grouping symbols. Use properties of equality to clear decimals and fractions. Step 2 – Combine like terms on each side of the equation. Step 3 – Use the properties of equality to get the variable terms on 1 side of the equation and the constants on the other. Step 4 – Use the properties of equality to solve for the variable. Step 5 – Check your solution in the original equation.

3
**Solving an Equation w/variables on Both Sides**

5x + 2 = 2x x – 2x + 2 = 2x - 2x x + 2 = 14 3x + 2 – 2 = 14 – 2 3x = 12 (3x)/3 = 12/3 x = 4

4
Your turn 7k + 2 = 4k -10

5
**Solving an Equation with Grouping Symbols**

2(5x – 1) = 3(x + 11) 10x – 2 = 3x x - 3x - 2 = 3x - 3x x – 2 = 33 7x – = x = 35 (7x)/7 = 35/7 x = 5

6
Your turn 4(2y + 1) = 2(y – 13) 7(4 – a) = 3(a – 4)

7
An equation that is true for every possible value of the variable is an identity. Example x + 1 = x + 1 An equation that has no solution if there is no value of the variable that makes the equation true. Example x + 1 = x + 2 has no solution.

8
**Equations w/Infinitely Many Solutions (Identity)**

10x + 12 = 2(5x + 6) 10x + 12 = 10x + 12 Because 10x + 12 = 10x + 12 is always true, there are infinitely many solutions of the equation. The original equation is an identity.

9
**Equation with No Solution**

9m – 4 = -3m m 9m – 4 = -3m + 12m + 5 9m – 4 = 9m + 5 9m - 9m – 4 = 9m - 9m ≠ 5 Because – 4 ≠ 5, the original equation has no solution.

10
Your Turn 3(4b – 2) = b 2x + 7 = -1(3 – 2x)

Similar presentations

© 2023 SlidePlayer.com Inc.

All rights reserved.

To make this website work, we log user data and share it with processors. To use this website, you must agree to our Privacy Policy, including cookie policy.

Ads by Google