Question

What is the solution to this system of equations?

{x+y=6x=y+4

(1, 5)
begin ordered pair 1 comma 5 end ordered pair

(212, 112)
begin ordered pair 21 halves comma 11 halves end ordered pair

(5, 1)
begin ordered pair 5 comma 1 end ordered pair

(112, 12)

Answers

  1. The solution to the given system of linear equations is x = 4, y = 20

    System of linear equations

    From the question, we are to determine solution to the given system of equations
    The given system of equations is
    x+y=6x=y+4
    Thus, we can write that
    x + y = 6x ———– (1)
    and
    6x = y + 4 ————(2)
    Solve the two equations simultaneously
    From equation (1)
    x + y = 6x
    y = 6x – x
    y = 5x ——— (3)
    Substitute into equation (2)
    6x = y + 4
    6x = 5x + 4
    6x – 5x = 4
    x = 4
    Substitute the value of x into equation (3)
    y = 5x
    y = 5(4)
    y = 20
    Hence, the solution to the given system of linear equations is x = 4, y = 20
    Learn more on System of linear equations here: https://brainly.com/question/13729904
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