Question

Solve the problem 2x-y=16 4x-y =2​

Answer 1

Answer:

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