If the equation ar+b=cr + d has no solution, like in the example below, what must be true about a b c and d?

Question

01-03-2022
Mathematics

contestada

If the equation ar+b=cr + d has no solution, like in the example below, what must be true about a b c and d?

Respuesta :

Otras preguntas

¿En que año Cristobal Colon descubrio el continente Americano? Cuantos barcos utilizo para llegar hasta alli? Cuales son?

I rlly need help with this

Should we take care of useless equipment and avoid the "trash pile" that is growing in space?

Translate the following sentences into French 17. She showed us her beautiful red dress. 18. We use the fax machine a lot in our office. 19. I'm sorry, I've got

please help me please no links or will be reported

Read the excerpt from David Foster Wallace’s Infinite Jest. Three faces have resolved into place above summer-weight sportcoats and half-Windsors across a polis

Write a C program that right shifts an integer variable 4 bits. The program should print the integer in bits before and after the shift operation. Does your sys

Which of the following is the cause of transmission impairment?Select one:O FrequencyO AmplitudeO AttenuationO Phase

please help! will give brainliest! review the graph of function f(x) for which values of c does lim f(x) not exist? (graph and answer choices pictured)

VectorFundament120 VectorFundament120 · Answer 1 · 2022-03-01T15:50:26+01:00

Answer:

See below.

Step-by-step explanation:

For an equation like [tex]\displaystyle \large{ar+b=cr+d}[/tex] to have no solution, the equation has to be false.

To make an equation false, we let a = c. That’d make a and c have same value, when we transport cr to subtract ar, we’ll get 0.

So if a = c, the equation is [tex]\displaystyle \large{b=d}[/tex] now that we have b = d. The equation has to be false to have no solutions, hence b and d must not equal to one another.

Summary

When a = c, the new equation is b = d as ar and cr having same value, when subtracted, the remain is 0+b=d.
b = d means that the value of b and d are equal but that makes the solutions to be infinitely many. Therefore, we cannot let b = d.
From second, b ≠ d.
a = c but b ≠ d

Let me know if you have any questions regarding this question or for clarification.