A system of equations is given. y=3x+6 2x+4y=−4 What is the value of y in the system? A -15

Question

A system of equations is given.

y=3x+6
2x+4y=−4
What is the value of y in the system?
A
-15

B
-7

C
-2

D
0

in progress 0
Isabella 2 weeks 2021-09-15T08:33:59+00:00 2 Answers 0

Answers ( )

    0
    2021-09-15T08:35:03+00:00

    Answer:

    I think is c -2.

    y=3x+6

    2x+4y=−4

    y = 5x + 4y – 4

    -4y – 4y

    5x- 4y = -4 -4y

    0
    2021-09-15T08:35:30+00:00

    Answer:y = 0

    Step-by-step explanation:

    The given system of linear equations is expressed as

    y = 3x + 6

    3x – y = – 6- – – – – – – – – – – – -1

    2x + 4y = – 4- – – – – – – – – – – -2

    We would eliminate x by multiplying equation 1 by 2 and equation 2 by 3. It becomes

    6x – 2y = – 12- – – – – – – – – – -3

    6x + 12y = – 12- – – – – – – – – – – -4

    Subtracting equation 4 from equation 3, it becomes

    – 14y = 0

    y = 0

    Substituting y = 0 into equation 1, it becomes

    3x – 0 = – 6

    3x = – 6

    Dividing the left hand side and the right hand side of the equation by 3, it becomes

    3x/3 = – 6/3

    x = – 2

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