What will be shown in the graph of (15x+10y=40) and (3x+2y=8)?
Answer and explanation
Correct answer: Same line
Dividing every term of the first equation by 5 gives the second equation: 15x+10y=40 ⇒ 3x+2y=8. Thus, both equations represent the same line and have infinitely many common solutions. Exam tip: when the corresponding coefficients and constants of two linear equations are in the same ratio, their graphs coincide as one line.
Frequently asked questions
What is the correct answer to this question?
Same line
Why is this the correct answer?
Dividing every term of the first equation by 5 gives the second equation: 15x+10y=40 ⇒ 3x+2y=8. Thus, both equations represent the same line and have infinitely many common solutions. Exam tip: when the corresponding coefficients and constants of two linear equations are in the same ratio, their graphs coincide as one line.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Pair of Linear Equations in Two Variables. Topic: Conditions for solvability.
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