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Question

Which of these points lie on the line 7x+8y=61?


A

(3, 4)

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B

(2, 5)

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C

(-3, 7)

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D

(3, 5)

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Solution

The correct option is D

(3, 5)


Each point (x, y) on a line representing the linear equation ax + by + c = 0, is a solution of the linear equation.

The given point lie on the line representing the equation if it satisfies the equation.

Substituting the value of x = 3 and y = 4,
7x+8y=61 = 7(3)+8(4)=53.

Substituting the value of x = 2 and y = 5,
7x+8y=61 = 7(2)+8(5)=54.

Substituting the value of x = -3 and y = 7,
7x+8y=61 = 7(3)+8(7)=35.

Substituting the value of x = 3 and y = 5,
7x+8y=61 = 7(3)+8(5)=61

Hence, (3,5) lies on the line represented by the given equation.

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