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Chapter 2: Q55. (page 102)

Solve each equation. Check your solution.

25x+6=23x+10

Short Answer

Expert verified

The solution of the given equation is x=鈭�15.

Step by step solution

01

Step 1. Write the given equation.

The given equation is 鈥�25x+6=23x+10鈥�.

02

Step 2. Solve the given equation.

Solving,

25x+6=23x+10 (Given equation)

25x+6鈭�23x=23x+10鈭�23x (Subtract 23xfrom both sides)

鈭�415x+6=10 (Simplify)

鈭�415x+6鈭�6=10鈭�6 (Subtract 6 from both sides)

鈭�415x=4

鈭�415x脳鈭�154=4脳鈭�154 (Multiply both sides by 鈭�154)

x=鈭�15 (Simplify)

So, x=鈭�15is the solution of the given equation.

03

Step 3. Check the obtained solution.

Put x=鈭�15in the given equation 25x+6=23x+10to get,

25鈭�15+6=23鈭�15+102鈭�3+6=2鈭�5+10鈭�6+6=鈭�10+100=0

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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