Rodney is given two linear equations: x – y = 11 and 2x + y = 19. What value of x should he get as a solution for this system of linear equa

Question

Rodney is given two linear equations: x – y = 11 and 2x + y = 19. What value of x should he get as a solution for this system of linear equations

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Athena 1 week 2021-09-14T23:32:16+00:00 2 Answers 0

Answers ( )

    0
    2021-09-14T23:33:22+00:00

    Answer:

    x = 10

    Step-by-step explanation:

    Given the 2 equations

    x – y = 11 → (1)

    2x + y = 19 → (2)

    Adding the 2 equations term by term eliminates the term in y, that is

    (x + 2x) + (- y + y) = (11 + 19), simplifying gives

    3x = 30 ( divide both sides by 3 )

    x = 10

    0
    2021-09-14T23:34:12+00:00

    Answer:

    x = 10

    Step-by-step explanation:

    We know that Rodney is given the following two linear equations and we are to find the value of x at which he would get a solution for this system of linear equations:

     x - y = 1 1 – (1)

     2 x + y = 1 9 – (2)

    From (1):

    x=11+y

    Substituting this value of x in (2):

    2(11+y)+y=19

    22+2y+y=19

    3y=19-22

    y=-\frac{3}{3}

    y=-1

    Substituting this value of y in (1) to find x:

    x=11+(-1)

    x = 10

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