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Solving for specified variables

In this guide, we explore the concept of solving for specified variables in equations. Understanding that solving for a variable does not always yield a number is crucial; it often involves treating each letter as a number. We will examine key strategies, such as eliminating terms through opposite operations and correctly manipulating equations to isolate the desired variable. Using examples like X + Y = Z, we will demonstrate the steps to solve for specific variables, helping you develop a solid foundation in algebraic manipulation.

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Solving for specified variables

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  1. Solving for specified variables

  2. Sometimes you will be asked to solve for a specified variable.

  3. Sometimes you will be asked to solve for a specified variable. • Key Concept:

  4. Sometimes you will be asked to solve for a specified variable. • Key Concept: • Solving for a variable DOES NOT always mean getting a number.

  5. Sometimes you will be asked to solve for a specified variable. • Key Concept: • Solving for a variable DOES NOT always mean getting a number. • Treat every letter like a number.

  6. Sometimes you will be asked to solve for a specified variable. • Key Concept: • Solving for a variable DOES NOT always mean getting a number. • Treat every letter like a number. X + Y = Z Solve for X.

  7. Sometimes you will be asked to solve for a specified variable. • Key Concept: • Solving for a variable DOES NOT always mean getting a number. • Treat every letter like a number. X + Y = Z Solve for X. Remember that in order to eliminate something you do the opposite.

  8. Sometimes you will be asked to solve for a specified variable. • Key Concept: • Solving for a variable DOES NOT always mean getting a number. • Treat every letter like a number. X + Y = Z Solve for X. - Y -Y Remember that in order to eliminate something you do the opposite.

  9. Sometimes you will be asked to solve for a specified variable. • Key Concept: • Solving for a variable DOES NOT always mean getting a number. • Treat every letter like a number. X + Y = Z Solve for X. - Y -Y X = Z - Y Remember that in order to eliminate something you do the opposite.

  10. Sometimes you will be asked to solve for a specified variable. • Key Concept: • Solving for a variable DOES NOT always mean getting a number. • Treat every letter like a number. X + Y = Z Solve for X. - Y -Y X = Z - Y Remember that in order to eliminate something you do the opposite. Note: Z and Y are not like terms, so you CANNOT simplify further.

  11. Solve for the specified variable: X + 2Y = Z Solve for Y

  12. Solve for the specified variable: X + 2Y = Z Solve for Y First switch your X and Y.

  13. Solve for the specified variable: X + 2Y = Z Solve for Y 2Y + X = Z First switch your X and Y.

  14. Solve for the specified variable: X + 2Y = Z Solve for Y 2Y + X = Z First switch your X and Y. Eliminate addition first.

  15. Solve for the specified variable: X + 2Y = Z Solve for Y 2Y + X = Z First switch your X and Y. - X -X Eliminate addition first.

  16. Solve for the specified variable: X + 2Y = Z Solve for Y 2Y + X = Z First switch your X and Y. - X -X Eliminate addition first. 2Y = Z - X

  17. Solve for the specified variable: X + 2Y = Z Solve for Y 2Y + X = Z First switch your X and Y. - X -X Eliminate addition first. 2Y = Z – X Eliminate multiplication next.

  18. Solve for the specified variable: X + 2Y = Z Solve for Y 2Y + X = Z First switch your X and Y. - X -X Eliminate addition first. 2Y = Z – X Eliminate multiplication next. Y = Z – X Final answer. 2 2 2

  19. Solve for the specified variables:

  20. Assignment: Finish the handout and turn in Thursday.

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