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Chapter 2: Q. 48 (page 112)

In the following exercises, solve each equation with fraction coefficients.

58b+12=鈭�34

Short Answer

Expert verified

The value ofb=-2

Step by step solution

01

Step 1. Given Information 

In the given question we have to solve equation with fraction coefficients.

58b+12=鈭�34

02

Step 2. The given equation is 58b+12=−34

Now we solve the given equation for the value of b.

03

Step 3. We want to clear the fractions by multiplying both sides of the equation by the LCD of all the fractions in the equation.

Finding the LCD of all fractions in the equation.

The numbers are8,2,4

So the LCD is8

04

Step 4. Multiply both sides of the equation by 8.

858b+12=8鈭�34

Distribute.

8脳58b+8脳12=8鈭�34

Simplify鈥攏otice, no more fractions.

5b+4脳1=2脳鈭�35b+4=-6

Subtract 4on both side

5b+4-4=-6-45b=-10

Divide by 5 on both side

55b=-105b=-2

05

Step 5. Now checking the value.

Putting b=-2in the given equation

58(-2)+12=鈭�34-54+12=鈭�34-54+12脳22=鈭�34-54+24=鈭�34-5+24=-34-34=-34

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