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Chapter 3: Q. 44 (page 122)

Algebra Basics Solve the equation. Check your solution. (Lesson 2.5)

d-22=-43

Short Answer

Expert verified

The solution for the equation d-22=-43 is d=-21.

Step by step solution

01

.  Separate the variable and constants

Write the original equation and separate the variables.

d鈭�22=鈭�43鈥嬧赌�[鈥嬧赌媁riteoriginalequation.鈥嬧赌�]鈥嬧赌�d鈭�22+22=鈭�43+22鈥嬧赌�[鈥嬧赌婣dd22toeachside.鈥嬧赌�]鈥嬧赌�

02

.  Simplify both sides

Simplify the equation on both sides to solve it.

d=鈭�43+22d=鈭�21

Therefore, the solution of the equation is d=-21.

03

.  Check the solution 

To check the solution, write the original equation and substitute the value of d.

d-22=-43

Now, substitute d=-21and check the result.

鈭�21鈭�22=鈭�43鈥嬧赌�[鈥嬧赌婼ubstitute鈭�21ford.鈥嬧赌�]鈥嬧赌�鈭�43=鈭�43

As the left-hand side is equal to right hand side, this signifies that the solution is correct.

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