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Chapter 2: Q55. (page 102)

Solve each equation. Check your solution.

25x+6=23x+10

Short Answer

Expert verified

The solution of the given equation is x=鈭�15.

Step by step solution

01

Step 1. Write the given equation.

The given equation is 鈥�25x+6=23x+10鈥�.

02

Step 2. Solve the given equation.

Solving,

25x+6=23x+10 (Given equation)

25x+6鈭�23x=23x+10鈭�23x (Subtract 23xfrom both sides)

鈭�415x+6=10 (Simplify)

鈭�415x+6鈭�6=10鈭�6 (Subtract 6 from both sides)

鈭�415x=4

鈭�415x脳鈭�154=4脳鈭�154 (Multiply both sides by 鈭�154)

x=鈭�15 (Simplify)

So, x=鈭�15is the solution of the given equation.

03

Step 3. Check the obtained solution.

Put x=鈭�15in the given equation 25x+6=23x+10to get,

25鈭�15+6=23鈭�15+102鈭�3+6=2鈭�5+10鈭�6+6=鈭�10+100=0

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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Most popular questions from this chapter

Track the4脳400relay is a race where 4 runners take turns running 400 meters or one lap around the track.

  1. If a runner runs the first leg in 52 seconds plus or minus 2 seconds, write an equation to find the fastest and slowest times.
  2. If the runners of the second and third legs run their laps in 53 seconds plus or minus 1 second, write an equation to find the fastest and slowest times.
  3. Suppose the runner of the fourth leg is the fastest on the team. If he runs an average of 50.5 seconds plus or minus 1.5 seconds, what are the team鈥檚 fastest and slowest times?

Translate each sentence into an equation.

The quotient of 25 and t plus 6 is the same as twice t plus 1.

DVD A company that replicates DVDs spends \(1500 per day in building overhead plus \)0.80 per DVD in supplies and labor. If the DVDs sell for $1.59 per disk, how many DVDs must the company sell each day before it makes a profit?

Translate the following equation into a sentence:

7p+23=102

Solve each equation. Check your solution.

21+3j=9鈭�3j
See all solutions

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