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

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}