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Chapter 1: Q54. (page 25)

Solve each equation. Check your solution.

4k+3+2=4.5k+1

Short Answer

Expert verified

The required answer is 19.

Step by step solution

01

Step 1- Simplify left side of the equation

Use the distributive property ab+c=ab+ac on both sides of the original equation.

4k+12+2=4.5k+4.5

Combine the like terms on left side and write the terms with variables on one side.

4k+14=4.5k+4.59.5=0.5k

02

Step 2- Isolate the variable k

Perform division of 0.5 on both sides of the equation.

9.50.5=0.5k0.519=k

03

– Check the obtained value 

Substitute the obtained value of k into the original equation and perform simplification for checking.

419+3+2=?4.519+1422+2=?4.52088+2=?9090=90

04

Step 4- Make the conclusion

As the checking results in equal values on both the sides on substation of obtained value which means that obtained value is correct.

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