Can someone help me please Find the solution to the system of equations. y=-2x+7 y=5x-7

Question

Can someone help me please
Find the solution to the system of equations.
y=-2x+7
y=5x-7

in progress 0
Khang Minh 7 months 2021-07-19T08:56:30+00:00 1 Answers 4 views 0

Answers ( )

  1. Dau
    0
    2021-07-19T08:58:17+00:00
    Reply

    Let’s solve your system by substitution.
    y
    =
    −
    2
    x
    +
    7
    ;
    y
    =
    5
    x
    −
    7

    Step: Solve
    y
    =
    −
    2
    x
    +
    7
    for y:
    y
    =
    −
    2
    x
    +
    7

    Step: Substitute
    −
    2
    x
    +
    7
    for
    y
    in
    y
    =
    5
    x
    −
    7
    :
    y
    =
    5
    x
    −
    7
    −
    2
    x
    +
    7
    =
    5
    x
    −
    7
    −
    2
    x
    +
    7
    +
    −
    5
    x
    =
    5
    x
    −
    7
    +
    −
    5
    x
    (Add -5x to both sides)
    −
    7
    x
    +
    7
    =
    −
    7
    −
    7
    x
    +
    7
    +
    −
    7
    =
    −
    7
    +
    −
    7
    (Add -7 to both sides)
    −
    7
    x
    =
    −
    14
    −
    7
    x
    −
    7
    =
    −
    14
    −
    7
    (Divide both sides by -7)
    x
    =
    2

    Step: Substitute
    2
    for
    x
    in
    y
    =
    −
    2
    x
    +
    7
    :
    y
    =
    −
    2
    x
    +
    7
    y
    =
    (
    −
    2
    )
    (
    2
    )
    +
    7
    y
    =
    3
    (Simplify both sides of the equation)

    Answer: x=2 and y=3

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