1. EXAMPLE 2 Solving an Equation Involving Decimals 1.4x –1.8 + 2.35x = 0.21 Original equation. (1.4x –1.8 + 2.35x)100 = (0.21)100 Multiply each side by 100 to clear decimals. 140x –180 + 235x = 21 Simplify. 375x –180 = 21 Combine like terms. 375x = 201 Add 180 to each side. Divide each side by 375. x = 0.536 Simplify. 375x 375 201 375 =

2. EXAMPLE 3 Solving an Equation Involving Fractions Original equation. 3 10 x = – 1 6 x + 7 3 x ( ) 30 = 1 6 x ( ) – + 7 10 30 3 10 x ( ) 30 = 1 6 x ( ) – + 7 10 30 ) ( 3 30 10 1 3 x = – 1 30 6 1 5 x + 7 30 10 1 3 9x = –5x + 21 14x = 21 Multiply each side by the LCD, 30. Distributive property Divide out common factors. Simplify. Add 5x to each side. Divide each side by 14. Simplify. x= 21 14 = 3 2 or 1 1 2,

3. GUIDED PRACTICE for Examples 2 and 3 Solve the equation. k = 2.62 – 1.7k + 6.7k = 13.1 2.

4. GUIDED PRACTICE for Examples 2 and 3 0.48 = n 1.2n – 0.24 = 0.7n 3.

5. GUIDED PRACTICE for Examples 2 and 3 0.25 = y 8.3 – 8y = 1.2y +6 4.

6. GUIDED PRACTICE for Examples 2 and 3 5. 4 5 x = – 7 10 + 3 x –37 8 =

7. GUIDED PRACTICE for Examples 2 and 3 6. 1 4 s = 1 3 2s –1 4 9 = s

8. GUIDED PRACTICE for Examples 2 and 3 7. 5 6 v + 5 8 = 3 8 v –15 11 or 4 11 –1 = v