Algebra 1
Algebra 1
1st Edition
ISBN: 9780078884801
Author: McGraw-Hill/Glencoe
Publisher: Glencoe/McGraw-Hill School Pub Co
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Chapter 3, Problem 24SGR
To determine

To solve the equation for y −4x−28=0 ,

Expert Solution & Answer
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Answer to Problem 24SGR

  x=−7

Explanation of Solution

Given:

The equation, −4x−28=0 .

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.

Calculation:

In order to solve the given equation −4x−28=0 for the variable, isolate the variable term x on one side by performing some basic algebraic operations to get rid of the other numbers and terms associated with it.

Here to isolate x on both side, first add both sides by 28 and then divide both sides by 4 and then simplify further as shown below,

  −4x−28=0−4x−28+28=28−4x=28−4x4=284−x=7⇒x=−7

Thus, the solution of the indicated variable is x=−7 .

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Chapter 3, Problem 23SGR
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Chapter 3, Problem 25SGR

Chapter 3 Solutions

Algebra 1

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