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
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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.