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Chapter 2: Q. 62 (page 112)

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

10y鈭�23+3=10y+19

Short Answer

Expert verified

The value ofy=-1

Step by step solution

01

Step 1. Given Information 

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

10y鈭�23+3=10y+19

02

Step 2. The given equation is 10y−23+3=10y+19

Now we solve the given equation for the value ofy

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 are3,9

So the LCD is9

04

Step 4. Multiply both sides of the equation by .

910y鈭�23+3=910y+19

Distribute.

9脳10y鈭�23+9脳3=10y+1310y鈭�2+27=10y+130y-6+27=10y+130y+21=10y+1

05

Step 5. Simplify—notice, no more fractions. 

Subtract 10yon both side

30y+21-10y=10y+1-10y20y+21=1

Subtract 21 on both side

20y+21-21=1-2120y=-202020y=-2020y=-1

06

Step 6. Now checking the value. 

Putting y=-1in the given equation

10-1鈭�23+3=10-1+19-10鈭�23+3=-10+19-123+3=-99-4+3=-1-1=-1

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