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Q15.

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Algebra 1
Found in: Page 151
Algebra 1

Algebra 1

Book edition Student Edition
Author(s) Carter, Cuevas, Day, Holiday, Luchin
Pages 801 pages
ISBN 9780078884801

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Short Answer

Solve each equation for y.

5x2y=12

The equation for y is y=5x122.

See the step by step solution

Step by Step Solution

Step 1. State the concept used.

  • To get rid of a number in addition from one side, subtract the same number from both sides of equal sign.
  • To get rid of a number in subtraction from one side, add the same number both sides of equal sign.
  • To get rid of a number in multiplication from one side, divide the same number from both sides of equal sign.
  • To get rid of a number in division from one side, multiply the same number both sides of equal sign.

Rules of Addition/ Subtraction:

  • Two numbers with similar sign always get added and the resulting number will carry the similar sign.
  • Two numbers with opposite signs always get subtracted and the resulting number will carry the sign of larger number.

Rules of Multiplication/ Division:

  • The product/quotient of two similar sign numbers is always positive.
  • The product/quotient of two numbers with opposite signs is always negative.

Step 2. Rewrite the equation to solve for y.

In order to solve the given equation 5x2y=12 for the variable, isolate the variable term y on one side by performing some basic algebraic operations to get rid of the other numbers and terms associated with it.

Here to isolate y on both sides, first subtract both sides by 5x.

5x2y5x=125x 2y=125x

Step 3. Simplify further for y.

Now to further simplify divide both sides by 2.

2y=125x2y2=125x2 y=125x2 y=125x2y=5x122

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