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Chapter 2: Q8. (page 86)

Evaluate the following equation and check the solution is correct or not:

3+g=14

Short Answer

Expert verified

The solution of the equation 3+g=14is g=鈭�114.

Step by step solution

01

Step 1. Given information.

The given equation is 3+g=14.

02

Step 2. Write the concept.

In an equation, the variable represents the number that satisfies the equation.

To solve an equation means to find the value of the variable that makes the equation true.

If an equation is true and the same number is added to each side of the equation, then the resulting equivalent equation is also true.

03

Step 3. Solve the equation.

The equation 3+g=14can be solved below:

3+g=14

Subtract 3 from both sides of the equation.

role="math" localid="1642409654291" 3+g鈭�3=14鈭�3g=1鈭�3脳44

So,

g=1鈭�124=鈭�114

04

Step 4. Check the solution.

Take the equation 3+g=14.

Substitute g=鈭�114on the right-hand side of the equation.

role="math" localid="1642409827608" 3+g=143+鈭�114=143鈭�114=143脳4鈭�114=1414=14

This shows that, g=鈭�114is the solution of the given equation.

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Most popular questions from this chapter

Reading Len read34 of a graphic novel over the weekend. Monday, he read 22 more pages. If he has read 220 pages, how many pages does the book have?

Translate the following statement in if-then form:

鈥淔辞谤 x=8,鈥�x2鈭�3x=40鈥�.

Translate each sentence into an equation.

Thirty-two divided by y is equal to the product of three and y minus four.

Solve each equation. Check your solution.

c+1鈭�3=鈭�21

Which equation represents the second step of the solution process?

Step 1: 42x+7鈭�6=3x

Step 2: _________________

Step 3: 5x+28鈭�6=0

Step 4: 5x=鈭�22

Step 5: x=鈭�4.4

  1. 42x鈭�6+7=3x
  2. 42x+1=3x
  3. 8x+7鈭�6=3x
  4. 8x+28鈭�6=3x
See all solutions

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