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Chapter 2: Q12. (page 100)

Solve each equation. Check your solution.

9x鈭�4=2x+3

Short Answer

Expert verified

The solution of the given equation is x=1.

Step by step solution

01

Step 1. Write the given equation.

The given equation is 鈥�9x鈭�4=2x+3鈥�.

02

Step 2. Solve the given equation.

Solving,

9x鈭�4=2x+3 (Given equation)

9x鈭�4鈭�2x=2x+3鈭�2x (Subtract 2xfrom both sides)

7x鈭�4=3 (Simplify)

7x鈭�4+4=3+4 (Add 4 to both sides)

7x=7 (Simplify)

7x7=77 (Divide both sides by 7)

x=1 (Simplify)

So, x=1is the solution of the given equation.

03

Step 3. Check the obtained solution.

Put x=1in the given equation 9x鈭�4=2x+3to get,

91鈭�4=21+39鈭�4=2+35=5

Since the value obtained on the left-hand side and right-hand side are equal, the obtained value is indeed a solution of the given equation.

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