What is the solution of x/4+y/6=5 and x/2−y/3=2?
Answer and explanation
Correct answer: (x=12,y=12)
Clear denominators carefully. Multiplying the first equation by 12 gives 3x+2y=60. Multiplying the second by 6 gives 3x−2y=12. Adding these equations yields 6x=72, so x=12. Substituting into 3x+2y=60 gives 36+2y=60, hence y=12. Therefore option C is correct; the other ordered pairs fail at least one original equation.
Frequently asked questions
What is the correct answer to this question?
(x=12,y=12)
Why is this the correct answer?
Clear denominators carefully. Multiplying the first equation by 12 gives 3x+2y=60. Multiplying the second by 6 gives 3x−2y=12. Adding these equations yields 6x=72, so x=12. Substituting into 3x+2y=60 gives 36+2y=60, hence y=12. Therefore option C is correct; the other ordered pairs fail at least one 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: Algebraic methods: Substitution method and Elimination method..
