Solve the problem 2x-y=16
4x-y =2​

Subtract 4x4x from both sides of the equation.

y=16−4xy=16-4x

2x+3y=−22x+3y=-2

Replace all occurrences of yy in 2x+3y=−22x+3y=-2 with 16−4x16-4x.

y=16−4xy=16-4x

2x+3(16−4x)=−22x+3(16-4x)=-2

Simplify 2x+3(16−4x)2x+3(16-4x).

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y=16−4xy=16-4x

−10x+48=−2-10x+48=-2

Solve for xx in the second equation.

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y=16−4xy=16-4x

x=5x=5

Replace all occurrences of xx in y=16−4xy=16-4x with 55.

y=16−4⋅5y=16-4⋅5

x=5x=5

Simplify 16−4⋅516-4⋅5.

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y=−4y=-4

x=5x=5

The solution to the system of equations can be represented as a point.

(5,−4)(5,-4)

The result can be shown in multiple forms.

Point Form:

(5,−4)(5,-4)

Equation Form:

x=5,y=−4x=5,y=-4



4x+y=16,2x+3y=−24x+y=16,2x+3y=-2

emerging idea only occurs as a raw idea that could appear out of nowhere. meanwhile, to reach scientific consensus , that idea must be structured and tested over and over again through various experiments. the scientific consensus transforms the raw idea into idea that is more reliable through the process of scientific elimination.