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Chapter 3: Q40. (page 133)

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

19.5 + 0.5t = 10.6206 鈥� 0.4t

Short Answer

Expert verified

The solution for the equation is t=-9.866

Step by step solution

01

Step-1 – Given

The given equation is 19.5+0.5t=10.6206-0.4t.

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.

19.5+0.5t=10.6206鈭�0.4t19.5+0.5t鈭�10.6206=10.6206鈭�0.4t鈭�10.6206[Subtract10.6206fromeachsides]8.8794+0.5t=鈭�0.4t[Simplify]8.8794+0.5t+0.4t=鈭�0.4t+0.4t[Add0.4ttoeachsides]8.8794+0.9t=0[Simplify]

Then we subtract 8.8794 from both sides

So, we get: 0.9t=-8.8794

Then divide both sides by 0.9

0.9t0.9=鈭�8.87940.9t=鈭�9.866

So the solution of the equation is t=-9.866

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