Answered: Determine the type of solution. y =…

Trigonometry (MindTap Course List)

10th Edition

ISBN:9781337278461

Author:Ron Larson

Publisher:Ron Larson

Chapter4: Complex Numbers

Section4.2: Complex Solutions Of Equations

Problem 1ECP: Determine the number of solutions of the equation x3+9x=0.

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Question

Determine the type of solution.

y = 3/4x + 5

5y = 15/4x + 25

Expert Solution

Step 1

Approach to solve these types of questions:

First, write the system of equations in slope-intercept form.

y = mx + C

where m is the slope

and C is the y-intercept

if both the equations have the same slope but different y-intercepts, there is no solution because they will be parallel.
if both the equations have the same slope and same y-intercepts, there are infinitely many solutions.
if both the equations have different slopes there is one solution.

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