The equations (px+y=17) and (3x-y=7) have solution (y=2). What is (p)?
Answer and explanation
Correct answer: 5
In the given solution, y=2. Substituting this into the second equation, 3x-y=7, gives 3x-2=7, so x=3. Substituting x=3 and y=2 into the first equation, px+y=17, gives 3p+2=17; hence 3p=15 and p=5. Therefore, option C is correct. Exam tip: First use the given value to find the other variable, and then substitute both values into the equation containing the parameter.
Frequently asked questions
What is the correct answer to this question?
5
Why is this the correct answer?
In the given solution, y=2. Substituting this into the second equation, 3x-y=7, gives 3x-2=7, so x=3. Substituting x=3 and y=2 into the first equation, px+y=17, gives 3p+2=17; hence 3p=15 and p=5. Therefore, option C is correct. Exam tip: First use the given value to find the other variable, and then substitute both values into the equation containing the parameter.
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..
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