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Literal Equations, Applications of Linear Equations. Math 021. A literal equation is any equation that contains two or more variables. A literal equation can be thought of as a formula . It is useful in some instances to solve a literal equation for a specific variable .

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## Literal Equations, Applications of Linear Equations

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**Literal Equations, Applications of Linear Equations**Math 021**A literal equation is any equation that contains two or more**variables. A literal equation can be thought of as a formula. • It is useful in some instances to solve a literal equation for a specific variable. • Solve V = lwh for w. Then find the value for w if V = 30, l = 3, and h = 2. • Solve I = p + r for p. Then find the value for w if I = 70 and r = 14 • Solve a = b + c – d for c. Then find c when a = -1, b = -2, and d = -3 • Solve s = 2t – 3v for v. Then find v when s = 6, t = -10 • Solve y = mx + b for m. Then find m when y = -8 b = -10, and x = -2**Applications of Linear Equations**• Steps to successful problem solving: • Gather data & Define the variables – Read the problem, gather the information that you know and more importantly, what you don’t know. Draw a picture if it is helpful. Decide what you are attempting to solve for. • Create an equation – Use the given information to create an equation • Solve the equation – Solve the equation you have formulated using the methods we have learned. • Interpret the solution – Be sure that you have answered the question and that the solution makes sense.**Examples – For each problem construct an equation and**solve • Twice the sum of a number and ten is the same as four times the number less 6. Create an equation and find the number. • Three times the difference of twice a number and 6 is the same as five times the number increased by -15. Create an equation and find the number. • The sum of three consecutive integers is 321. Find all three integers. • The sum of three consecutive integers is -102. Find all three integers**A 40 foot board is cut into 3 pieces. One piece is twice the**shortest. Another piece is 4 feet longer than the shortest. Give an equation and find the length of all three pieces. • A 68 foot piece of string is cut into 3 pieces. One piece is five feet longer than the shortest. Another piece is five times the shortest. Give an equation and find the length of all three pieces.

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