Chapter 5: Q. 399 (page 683)

In the following exercises, translate to a system of equations and solve.
The sum of two numbers is −24. One number is 104 less than the other. Find the numbers.

Short Answer

Expert verified

The number are $40 and - 64$ .

Step by step solution

Step 1. Given Information

In the given exercises, translate to a system of equations and solve.

The sum of two numbers is −24. One number is 104 less than the other. Find the numbers.

Step 2. Let x=One Numbery=Second number.

The sum of two numbers is −24.

$x + y = - 24 \dots \dots \dots \dots \dots \dots Equation 1$

One number is 104 less than the other.

$y = x - 104 \dots \dots \dots \dots \dots \dots Equation 2$

Step 3. Using substitution method to solve the equation.

Putting the value of yfrom the Equation 2 in Equation 1

$x + x - 104 = - 24 2 x - 104 = - 24 A d d 104 o n b o t h s i d e 2 x - 104 + 104 = - 24 + 104 2 x = 80 D i v i d e b y 2 o n b o t h s i d e \frac{2}{2} x = \frac{80}{2} x = 40$

Step 4. Putting the value of x in Equation 2.

$y = 40 - 104 y = - 64$

The numbers are $40 and - 64$ .

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In the following exercises, translate to a system of equations and solve.
The sum of two numbers is −24. One number is 104 less than the other. Find the numbers.

Short Answer

Step by step solution

Step 1. Given Information

Step 2. Let x=One Numbery=Second number.

Step 3. Using substitution method to solve the equation.

Step 4. Putting the value of x in Equation 2.

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In the following exercises, translate to a system of equations and solve.The sum of two numbers is −24. One number is 104 less than the other. Find the numbers.

Short Answer

Step by step solution

Step 1. Given Information

Step 2. Let x=One Numbery=Second number.

Step 3. Using substitution method to solve the equation.

Step 4. Putting the value of x in Equation 2.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Discrete Mathematics

Decision Maths

Probability and Statistics

Geometry

Calculus

Pure Maths

Study anywhere. Anytime. Across all devices.

In the following exercises, translate to a system of equations and solve.
The sum of two numbers is −24. One number is 104 less than the other. Find the numbers.