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