Solve the solving system by substitution Y=x+9 3x+8y=-5

Question

Solve the solving system by substitution Y=x+9 3x+8y=-5

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Ruby 2 weeks 2021-11-23T23:51:01+00:00 2 Answers 0 views 0

Answers ( )

    0
    2021-11-23T23:52:32+00:00

    Answer:

    x= -7   and y= 2

    Step-by-step explanation:

    Given that y= x+9  …………(i)

                     3x+8y= -5 ………(ii)

    required: the value of x and y

    now take equation (i) above substitute into equation (ii), we get

      3x+8(x+9)= -5

    11x+72= -5

    11x= -77 divide by 11, we get

    x= -7

    now from

    y= x+9, but x= -7

    y= -7+9= 2

    y=2

    therefore the value of x= -7 and y= 2

    0
    2021-11-23T23:52:39+00:00

    The solution of the two equations is x=-7 and y=2

    Explanation:

    The two equations are y=x+9 and 3x+8y=-5

    Let us determine the solution of the equation using substitution method.

    Thus, substituting y=x+9 in the equation 3x+8y=-5, we get,

    3x+8(x+9)=-5

    Multiplying the terms within the bracket, we have,

    3x+8x+72=-5

    Subtracting both sides of the equation by -72, we get,

    11x=-77

    Dividing both sides of the equation by 11, we have,

    x=-7

    Now, substituting x=-7 in the equation y=x+9, we get,

    y=-7+9

    y=2

    Thus, the solution of the two equations is x=-7 and y=2

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