Which equation is satisfied by the point (3, 7)?
Answer and explanation
Correct answer: x + y = 10
The governing concept is testing whether an ordered pair satisfies an equation. Substitute x = 3 and y = 7 into each suitable expression. For option A, x + y = 3 + 7 = 10, so the equation is true. Option B would require 3 + 7 to equal 12, which is false. For option C, x - y = 3 - 7 = -4, not 10. For option D, 2x + y = 2(3) + 7 = 13, not 16. Therefore the point lies on the line represented by option A, and no other option is satisfied.
Frequently asked questions
What is the correct answer to this question?
x + y = 10
Why is this the correct answer?
The governing concept is testing whether an ordered pair satisfies an equation. Substitute x = 3 and y = 7 into each suitable expression. For option A, x + y = 3 + 7 = 10, so the equation is true. Option B would require 3 + 7 to equal 12, which is false. For option C, x - y = 3 - 7 = -4, not 10. For option D, 2x + y = 2(3) + 7 = 13, not 16. Therefore the point lies on the line represented by option A, and no other option is satisfied.
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..
