MysteryDove12
contestada

Three students each examine the system of linear equations shown.
8x + 4y = 16
8x + 2y = 8

Caleb says there is exactly one solution. Jeremy says there is no solution. Kim says there are infinitely many solutions. Which student is correct? Provide mathematical reasoning to support your answer.
Please answer in complete sentences. :D

Respuesta :

Answer:


Step-by-step explanation:

If you subtract one equation from the other:

8x + 4y = 16

-8x - 2y = -8


2y = 8

y=4


Answer is basically a straight horizontal line of y=4 (x can be any number).

raphealnwobi

Caleb is right because there is exactly one solution at (0, 4).

Linear equation

A linear equation is in the form:

y = mx + b

where y, x are variables, m is the rate of change and b is the initial value of y.

Given the equation:

  • 8x + 4y = 16   (1)
  • 8x + 2y = 8     (2)

Solving equation 1 and 2 simultaneously gives:

x = 0, y = 4

Caleb is right because there is exactly one solution at (0, 4).

Find out more on linear equation at: https://brainly.com/question/14323743

Otras preguntas