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Chapter 2: Q53. (page 102)

Solve each equation. Check your solution. (Lesson 2-3)

鈭�1=7+3c

Short Answer

Expert verified

The solution of the given equation is c=鈭�83.

Step by step solution

01

Step 1. Write the given equation.

The given equation is 鈥�鈭�1=7+3c鈥�.

02

Step 2. Solve the given equation.

Solving,

鈭�1=7+3c (Given equation)

鈭�1鈭�7=7+3c鈭�7 (Subtract 7 from both sides)

鈭�8=3c (Simplify)

鈭�83=3c3 (Divide both sides by 3)

鈭�83=c (Simplify)

c=鈭�83 (Write the variable on the left-hand side)

So, c=鈭�83is the solution of the given equation.

03

Step 3. Check the obtained solution.

Put c=鈭�83in the given equation 鈭�1=7+3cto get,

鈭�1=7+3鈭�83鈭�1=7+鈭�8鈭�1=7鈭�8鈭�1=鈭�1

Since the value obtained on the left-hand side and right-hand side are equal, the obtained value is indeed a solution of the given equation.

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A hang glider 25 meters above the ground starts to descend at a constant rate of 2 meters per second. Which equation shows the height h after t seconds of descent?

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