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Chapter 5: Q. 186 (page 644)

The sum of two numbers is negative sixteen. One number is seven times the other. Find the numbers.

Short Answer

Expert verified

Numbers are -14 and -2

Step by step solution

01

Given information 

The sum of two numbers is negative sixteen. One number is seven times the other.

02

Assume variables and frame equations

Let 'x' be the first number and 'y' be the second number

The sum of two numbers is negative sixteen.

x + y=-16

One number is seven times the other.

x=7y

03

solve the equations

x+y=-16x=7ySubstituteitinfirstequation7y+y=-168y=-16divideby8y=-2x=7yx=7(-2)x=-14

Numbers are -14 and -2

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Most popular questions from this chapter

Solve a System of Equations by Elimination -

4x+7y=14-2x+3y=32

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

Two containers of gasoline hold a total of fifty gallons. The big container can hold ten gallons less than twice the small container. How many gallons does each container hold?

Determine whether the ordered pair is the solution to the system

3x+y=0x+2y=-5

(a)(1,-3)

(b)(0,0)

In the following exercises, solve the following systems of equations by graphing.

-3x+y=-24x-2y=6

In the following exercises, solve the following systems of equations by graphing.

x+y=-5x-y=3
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