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Chapter 2: Q10. (page 145)

Solve each equation. Check your solutions.

3(2k鈭�2)=鈭�2(4k鈭�11)

Short Answer

Expert verified

Thek=2 is the solution of the given equation.

Step by step solution

01

Step 1. Given information.

We have an equation 3(2k-2)=-2(4k-11).

To find the solution of the given equation and check the solution.

02

Step 2. Calculation.

Solving the given equation:

3(2k鈭�2)=鈭�2(4k鈭�11)鈬�6k鈭�6=鈭�8k+22鈬�6k+8k=6+22鈬�14k=28鈬�k=2

03

Step 3. Check the Solution.

We substitute thek=2 in the given equation.

3(2k鈭�2)=鈭�2(4k鈭�11)鈬�3(2脳2鈭�2)=鈭�2(4脳2鈭�11)鈬�3(4鈭�2)=鈭�2(8鈭�11)鈬�3(2)=鈭�2(鈭�3)鈬�6=6鈬�L.H.S.=R.H.S.

Hence, thek=2 is the solution of the given equation.

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