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Chapter 2: Problem 10

Translate each statement into an equation and then solve the equation for the unknown number. The sum of an unknown number and itself is 784.

Short Answer

Expert verified
Answer: The unknown number is 392.

Step by step solution

01

Write the equation

Let the unknown number be x. Then the equation can be written as: x + x = 784
02

Simplify the equation

We can simplify the equation by adding the left side: 2x = 784
03

Solve the equation for x

Now, to find the value of x, we need to divide both sides of the equation by 2: 2x / 2 = 784 / 2 x = 392
04

Write the answer

The unknown number is 392.

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Most popular questions from this chapter

Use an algebraic approach to solve each of the following equations. a. \(x+43=191\) b. \(315+s=592 \quad\) c. \(w-37=102\) d. \(428=y+82\) e. \(t+100=100\) f. \(31=y-14\) g. \(643+x=932\) h. \(z-56=244\) i. \(W+2495=8340\) j. \(y-259=120\) k. \(4200+x=6150\) l. \(251=t-250\) m. \(y+788=788\) n. \(32,900=z+29,240\) o. \(x-648=0\)
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Solve each problem by applying the four steps of problem solving. Use the strategy of solving an algebraic equation for each problem. Your goal is to save \(\$ 1200\) to pay for next year's books and fees. How much must you save each month if you have 5 months to accomplish your goal?
Translate each statement into an equation and then solve the equation for the unknown number. Fifteen subtracted from a number is 45.
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