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16 September, 03:27

If the solution to y=4x+3 is (4,16) what would the steps needed to get (4,16) be?

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  1. 16 September, 04:52
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    Simplifying x4 = 16

    Solving x4 = 16

    Solving for variable 'x'.

    Move all terms containing x to the left, all other terms to the right.

    Simplifying x4 = 16

    Reorder the terms: - 16 + x4 = 16 + - 16

    Combine like terms: 16 + - 16 = 0 - 16 + x4 = 0

    Factor a difference between two squares. (4 + x2) (-4 + x2) = 0

    Factor a difference between two squares. (4 + x2) ((2 + x) (-2 + x)) = 0

    Subproblem 1

    Set the factor ' (4 + x2) ' equal to zero and attempt to solve:

    Simplifying 4 + x2 = 0 Solving 4 + x2 = 0

    Move all terms containing x to the left, all other terms to the right.

    Add '-4' to each side of the equation. 4 + - 4 + x2 = 0 + - 4

    Combine like terms: 4 + - 4 = 0 0 + x2 = 0 + - 4 x2 = 0 + - 4

    Combine like terms: 0 + - 4 = - 4 x2 = - 4

    Simplifying x2 = - 4

    The solution to this equation could not be determined.

    This subproblem is being ignored because a solution could not be determined.

    Subproblem 2

    Set the factor ' (2 + x) ' equal to zero and attempt to solve:

    Simplifying 2 + x = 0 Solving 2 + x = 0

    Move all terms containing x to the left, all other terms to the right.

    Add '-2' to each side of the equation. 2 + - 2 + x = 0 + - 2 Combine like terms: 2 + - 2 = 0 0 + x = 0 + - 2 x = 0 + - 2

    Combine like terms: 0 + - 2 = - 2 x = - 2 Simplifying x = - 2

    Sub-problem 3

    Set the factor ' (-2 + x) ' equal to zero and attempt to solve:

    Simplifying - 2 + x = 0 Solving - 2 + x = 0

    Move all terms containing x to the left, all other terms to the right.

    Add '2' to each side of the equation. - 2 + 2 + x = 0 + 2

    Combine like terms: - 2 + 2 = 0 0 + x = 0 + 2 x = 0 + 2

    Combine like terms: 0 + 2 = 2 x = 2 Simplifying x = 2Solutionx = {-2, 2}
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