What is the solution to the system of equations below? 2x-y=10 and y=-1/2x+5 (6, 2) (6, –2) (–6, –22) (–

Question

What is the solution to the system of equations below?
2x-y=10 and y=-1/2x+5

(6, 2)
(6, –2)
(–6, –22)
(–6, 8)

0

Answers ( No )

    0
    2021-11-25T20:04:32+00:00

    Answer:

    The answer is (6, 2).

    Step-by-step explanation:

    This is a system of equations so we have to replace one equation in the other one, this is:

    2x-y=10 Eq. 1

    y=-\frac{1}{2}x+5 Eq. 2

    Replacing the Eq. 2 in the Eq. 1, we have:

    2x-(-\frac{1}{2}x+5)=10

    2x+\frac{1}{2}x-5=10

    2.5x=10+5

    x=\frac{15}{2.5}

    x=6

    Now we have that x=6, we can replace it in the Eq. 2:

    y=-\frac{1}{2} *6+5\\y=-3+5\\y=2

    Now y=2

    From the above we have that the answer is (6, 2) expressed in Cartesian coordinates.

    0
    2021-11-25T20:04:54+00:00

    The correct answer is:

    (x,y) = (6,2)

    Option A would be the correct one.

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