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LESSON #7 Solving Literal Equations A literal equation is an equation that uses more than one letter as a variable. To Solve a formula for a variable: (1) isolate the variable on one side of the equal sign. - use rules to solve equations (2) add, subtract, multiply, or divide both sides of the equation to obtain a coefficient of 1 on the desired variable. Example 1 Given P = 2 (L + W), Solve for w. Solution a) P = 2L + 2W distribute P - 2L = 2L - 2L + 2W Subtract 2L P - 2L = 2W P - 2L = 2W 2 2 divide by 2 P - 2L = W 2 Example 2 5x – 2y – 11 = 0, y (put in y=mx + b form) 5x –2y + 2y – 11 = 0 + 2y 5x – 11 = 2y 5x – 11 = 2y 2 2 2 y = 5x – 11 2 2 SOLVE EACH EQUATION FOR THE DESIRED VARIABLE: 1. A = bh + z , h 2. g = m + x(w – 1) , w 3. C =d, d