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EXAMPLE 2

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

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EXAMPLE 2

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  1. 375x 201 = 375 375 Solving an Equation Involving Decimals EXAMPLE 2 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.

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

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

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

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

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

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

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

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