Daph044
contestada

Leslie determined that the system of equations below has infinitely many solutions. Is she correct?

x=4y-4
2x-8y=-24

A.Yes, Leslie is correct.
B. No, the solution is (-8,-24)
C. No, the solution is (0,-16)
D. No, the system of equations has no solution.

Please explain to me how to solve this! Thank you!

Respuesta :

Answer:

Leslie determined that the system of equations below has infinitely many solutions. Is she correct?  

x=4y-4

2x-8y=-24

A.Yes, Leslie is correct.

B. No, the solution is (-8,-24)

C. No, the solution is (0,-16)

D. No, the system of equations has no solution.

Step-by-step explanation:

you have to solve they as a pair of simultaneous equations and their is no solutions

if you need a more detailed explanation post the question again and i will write a detailed explanation

plz mark as brainliest


Answer:

D. No, the system of equations has no solution.

Step-by-step explanation:

To find out whether Lisa is correct, lets solve by following the steps below;

x=4y-4 -------------------------------------------------------------------(1)

2x-8y=-24--------------------------------------------------------------(2)

Lets rearrange equation (1)

x - 4y = -4 ------------------------------------------------------------------(1)

2x-8y=-24--------------------------------------------------------------(2)

Multiply through equation (1)  by 2  

2x-8y=-24--------------------------------------------------------------(2)

2x - 8y = -8 --------------------------------------------------------(3)

subtract (2) from equation (1)

0 =-16

but 0 ≠  -16

This implies that the system of equations has no solution.