Solve a literal equation

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Presentation transcript:

Solve a literal equation EXAMPLE 1 Solve a literal equation Solve ax + b = c for x. Then use the solution to solve 2x + 5 = 11. SOLUTION STEP 1 Solve ax + b = c for x. ax + b = c Write original equation. ax = c – b Subtract b from each side. x c – b a = Assume a  0. Divide each side by a.

Solve a literal equation EXAMPLE 1 Solve a literal equation STEP 2 Use the solution to solve 2x + 5 = 11. x = c – b a Solution of literal equation. 11 – 5 2 = Substitute 2 for a, 5 for b, and 11 for c. = 3 Simplify. The solution of 2x + 5 = 11 is 3. ANSWER

GUIDED PRACTICE for Example 1 Solve the literal equation for x. Then use the solution to solve the specific equation 1. a – bx = c; 12 – 5x = –3 ; 3 ANSWER x = a – c b

GUIDED PRACTICE for Example 1 Solve the literal equation for x. Then use the solution to solve the specific equation 2. ax = bx + c; 11x = 6x + 20 ; 4 ANSWER c x = a – b