Chapter 5: Q. 109 (page 612)

In the following exercises, translate to a system of equations and solve.
The sum of two numbers is $- 26$ . One number is 12 less than the other. Find the numbers.

Short Answer

Expert verified

The numbers are $- 19 a n d - 7$

Step by step solution

Step 1. Given Information

The given data is that the sum of two numbers is $- 26$ . One number is 12 less than the other.

Step 2. Calculation

Let us assume that x be the first number and y be the second number.

The sum of two number is $- 26$ implies that $x + y = - 26 - - (1)$

One number is 12 less than the other implies that $x = y - 12 - - (2)$

Substitute the value of variable x from equation (2) in equation (1).

$x + y = - 26 y - 12 + y = - 26 2 y = - 14 y = - 7$

Find the value of variable x by using the obtained value of y.

$x = y - 12 x = - 7 - 12 x = - 19$

Thus, the required ordered pair is $(- 19, - 7)$

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In the following exercises, translate to a system of equations and solve.
The sum of two numbers is $- 26$ . One number is 12 less than the other. Find the numbers.

Short Answer

Step by step solution

Step 1. Given Information

Step 2. Calculation

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In the following exercises, translate to a system of equations and solve.The sum of two numbers is -26. One number is 12 less than the other. Find the numbers.

Short Answer

Step by step solution

Step 1. Given Information

Step 2. Calculation

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Decision Maths

Pure Maths

Mechanics Maths

Theoretical and Mathematical Physics

Discrete Mathematics

Logic and Functions

Study anywhere. Anytime. Across all devices.

In the following exercises, translate to a system of equations and solve.
The sum of two numbers is $- 26$ . One number is 12 less than the other. Find the numbers.