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Solving Literal Equations

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This lesson focuses on solving literal equations, also known as equations in the form of ax + b = c, where coefficients are represented by letters. We'll learn how to rearrange formulas to isolate a quantity of interest. Specifically, we will solve equations like 3x + 8 = 20 for x, and also tackle multivariable equations such as 4x + 3y = 12. By the end of this session, you will understand how to express one variable as a function of another, enhancing your algebraic skills.

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Solving Literal Equations

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  1. Solving Literal Equations 7L: rearrange formulas to highlight a quantity of interest

  2. So far we have studied equations that look like 2x+4=9 and 5x+17=32. Notice that both of these equations have the general form of ax+b=c. The equation ax+b=c is called a literal equation because all of the coefficients have been replaced with letters.

  3. Solve the following equation for x. Now solve this literal equation for x. ax + b = c • 3x + 8 = 20

  4. Solve the following literal equations for x. • a – bx = c

  5. Solve the following literal equation twice. Solve it first for y. Now solve it for x. 4x + 3y = 12 You have written x as a function of y. • 4x + 3y = 12 You have written y as a function of x.

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