y = 2x + 3 y = -2x + 15 Can you please explain how to get the answer.

Question

y = 2x + 3
y = -2x + 15
Can you please explain how to get the answer.

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Kylie 1 week 2021-10-05T05:22:45+00:00 2 Answers 0

Answers ( )

    0
    2021-10-05T05:24:31+00:00

    Answer:

    x = 3 and y = 9

    Step-by-step explanation:

    Given:

    y = 2x + 3 …………………….. equation i

    y = -2x + 15 …………………… equation ii

    since y is equals to the two functions , we can equate the two values of y . That is , equate equation i and ii , we have

    2x + 3 = -2x + 15

    Add 2x to both sides , we have

    2x + 2x + 3 = -2x + 2x + 15

    4x + 3 = 15

    subtract 3 from both sides , we have

    4x = 12

    divide both sides by 4 , then

    x = 3

    substitute x = 3 into equation i to get the value of y , that is

    y = 2(3) +3

    y = 6 + 3

    y = 9

    Therefore :

    x = 3 and y = 9

    0
    2021-10-05T05:24:32+00:00

    Answer:

    x =3 and y = 9

    Step-by-step explanation:

    This is a simultaneous equation

    y = 2x + 3      is equation 1

    y = -2x + 15    is equation 2

    Using the elimination method, we will add the two equations together

    Then, we will have

    2y = 18

    Note that y+y =2y, 2x+(-2x) = 0 and 3+15 =18

    y = 18/2  (dividing both sides by 2)

    Therefore, y = 9.

    Since we know the value of y, we can substitute 9 for y in any of the equation.

    Lets substitute 9 for y in equation 1, we will have

    9 = 2x + 3

    collecting like the like terms

    9 – 3 = 2x

    6 = 2x

    if we divide both sides by the coefficient of x, which is 2, we will have

    x = 6/2

    x = 3

    Therefore x = 3 and y = 9

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