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Chapter 3: Q42. (page 133)

Use a calculator to solve the equation. Check your solution.

-130.5-9b=-55.104+3.2b

Short Answer

Expert verified

The solution for the equation is b=-6.18

Step by step solution

01

Step-1 – Given

The given equation is 0.75m+14=1.87m-10.3936.

02

Step-2 – To determine

We have to solve the equation using a calculator

03

Step-3 – Calculation

We first make one side equal to 0.

鈭�130.5鈭�9b=鈭�55.104+3.2b鈭�130.5鈭�9b+55.104=鈭�55.104+3.2b+55.104[Add55.104fromeachsides]鈭�75.396鈭�9b=3.2b[Simplify]鈭�75.396鈭�9b鈭�3.2b=3.2b鈭�3.2b[Subtract3.2bfromeachsides]鈭�75.396鈭�12.2b=0[Simplify]

Then we add 75.396 to both sides

So, we get: -12.2b=75.396

Then divide both sides by -12.2

鈭�12.2b鈭�12.2=75.396鈭�12.2b=鈭�6.18

So the solution of the equation is b=-6.18

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