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Chapter 2: Q. 50 (page 112)

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

2=35x鈭�13x+25x

Short Answer

Expert verified

The value ofx=3

Step by step solution

01

Step 1. Given Information 

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

2=35x鈭�13x+25x

02

Step 2. The given equation is 2=35x−13x+25x

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

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 are3,5

So the LCD is15

04

Step 4. Multiply both sides of the equation by 15.

15脳2=1535x鈭�13x+25x

Distribute.

30=15脳35x鈭�15脳13x+15脳25x30=3脳3x鈭�5脳1x+3脳2x30=9x-5x+6x

Simplify鈥攏otice, no more fractions.

Combine like terms.

30=10x10x=30

Divide by 10on both side

role="math" localid="1645444054292" 1010x=3010x=3

05

Step 5. Now checking the value.

Putting x=32in the given equation

2=35脳3鈭�13脳3+25脳32=95鈭�33+652=95脳33鈭�33脳55+65脳332=2715-1515+18152=27-15+18152=30152=2

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