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Which point on the line x+4y=8 is obtained when x=4?

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Answer and explanation

Correct answer: (4, 1)

Substituting x=4 in x+4y=8 gives 4+4y=8. Thus, 4y=4 and y=1, so the point is (4, 1). Option A also has x=4, but 4+4×2=12, which does not equal 8. Exam tip: verify a point on a line by substituting both its coordinates into the original equation.

Related tags

Value TableGraph PlottingLinear Equations

Frequently asked questions

What is the correct answer to this question?

(4, 1)

Why is this the correct answer?

Substituting x=4 in x+4y=8 gives 4+4y=8. Thus, 4y=4 and y=1, so the point is (4, 1). Option A also has x=4, but 4+4×2=12, which does not equal 8. Exam tip: verify a point on a line by substituting both its coordinates into the original equation.

Which subject and chapter does this question cover?

This is a Class 10 Mathematics question. Chapter: Pair of Linear Equations in Two Variables. Topic: Graphical method of finding solutions..

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