Solve by substitution. Show each step of your work. 4x + y = 12 6x + 2y = 18 Please help

Question

Solve by substitution. Show each step of your work.

4x + y = 12

6x + 2y = 18

Please help!!!

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Đan Thu 2 months 2021-08-01T04:07:12+00:00 2 Answers 2 views 0

Answers ( )

    0
    2021-08-01T04:08:24+00:00

    Answer:

    x = 3, y = 0

    Step-by-step explanation:

    First we find a variable to cancel out. Y will be easiest.

    Multiply that equation by -2 to create -8x-2y = -24

    Now we can cancel y out and solve for x.

    add the variables together to make 10x = 30

    x = 3

    Now that we have x, we can plug it in for either equation to find y.  

    4(3) + y = 12

    y = 0

    0
    2021-08-01T04:08:35+00:00

    5x + y = 15

    y = -5x + 15

    Substituting y= -5x+15 from first equation into second equation:

    3x + 2y = 16

    3x + 2·(-5x + 15) = 16

    3x – 10x + 30 = 16

    -7x + 30 = 16

    7x = 30 – 16 = 14

    x = 2

    Substituting x=2 into the first equation:

    5x + y = 15

    5(2) + y = 15

    10 + y = 15

    y = 15 – 10

    y = 5

    So your final answers are x=2 and y=5.

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Giải phương trình 1 ẩn: x + 2 - 2(x + 1) = -x . Hỏi x = ? ( )