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Literal Equations: Transforming and Solving Multiple Variable Equations

Learn how to transform and solve literal equations with multiple variables. Explore examples and step-by-step solutions.

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Literal Equations: Transforming and Solving Multiple Variable Equations

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  1. BELL-WORK Solve |2x + 5| = 3 2x + 5 = 3 OR 2x + 5 = -3 x = -1 OR x = -4 Check: |2(-1) + 5| = 3 |2(-4) + 5| = 3 Good Good

  2. Literal Equations A literal equation is an equation with two or more variables. Example: y = 3x – z Notice, we will not be able to solve these types of equations as we usually do. We will only be able to transform them. To transform an equation means to solve for a specified variable. Solve the formula V = lwh for width w. V = w lh w = V lh

  3. Literal Equations Solve y = 4x – 3 for x. y + 3 = 4x y + 3 = x 4 x = y + 3 4 x = y + 3 4 4

  4. Literal Equations Solve -t = r + px for x. px = -t – r x = -t – r p x = -t – r p p

  5. Literal Equations Solve 4y + 3 = 5z for y x 2 4y + 3 = 5xz 2 4y = 5xz – 3 2 y = 5xz – 3 8 4

  6. Literal Equations Solve 4y + 3 = 5z for x x 2 x = 2 4y + 3 5z x = 2(4y + 3) 5z OR 4y + 3 = 5z for x x 2 2(4y + 3) = 5xz x = 2(4y + 3) 5z

  7. Literal Equations Solve x + 2 = 2 for x. y – 1 x + 2 = 2(y – 1) x = 2y – 2 – 2 x = 2y – 4

  8. Literal Equations Solve the formula A = ½bh for height h. A = h ½b 2A = h b h = 2A b

  9. Literal Equations Solve z – br = p for b. -br = p – z -b = p – z r b = p – z -r b = -p + z r r

  10. Literal Equations Solve y = 2x – 5 for x. x = y + 5 2 Solve 6x – 2p = 4v for p. -2p = 4v – 6x p = 4v – 6x -2 p = -2v + 3x

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