Given the system of equations, what is the x-coordinate of the solution? y = 3 – 1/2x 3x + 4y = 1 A) 22

Question

Given the system of equations, what is the x-coordinate of the solution?

y = 3 – 1/2x
3x + 4y = 1

A) 22
B) -17/2
C) -11

0

Answers ( No )

    0
    2022-01-05T23:29:16+00:00

    Answer:

    -11 😉

    Step-by-step explanation:

    0
    2022-01-05T23:29:26+00:00

    Answer: Choice C) -11

    ———————————–

    Explanation:

    The first equation given is y = 3 – 1/2x
    In other words, y is the same as 3 – 1/2x. 
    We can replace y in the second equation with 3 – 1/2x
    This is known as substitution (think of a substitute teacher who is a temporary replacement for your teacher)

    Doing this leads to…
    3x+4y = 1
    3x+4*y = 1
    3x+4*( y ) = 1
    3x+4*( 3 – 1/2x ) = 1 <<— y has been replaced with 3-1/2x
    3x+4*(3) +4*(-1/2x) = 1
    3x+12-2x = 1
    3x-2x+12 = 1
    x+12 = 1
    x+12-12 = 1-12 <<– subtracting 12 from both sides
    x = -11
    Which is why the answer is choice C) -11

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