If the intersection of two lines on a graph is \(\left(\frac{5}{2},-\frac{3}{2}\right)\), which pair can be correct?
Answer and explanation
Correct answer: \(2x+y=\frac{7}{2}\), \(x-2y=\frac{11}{2}\)
Substituting \(\left(\frac{5}{2},-\frac{3}{2}\right)\) makes both \(2x+y=\frac{7}{2}\) and \(x-2y=\frac{11}{2}\) true. Check the intersection point in both equations.
Frequently asked questions
What is the correct answer to this question?
\(2x+y=\frac{7}{2}\), \(x-2y=\frac{11}{2}\)
Why is this the correct answer?
Substituting \(\left(\frac{5}{2},-\frac{3}{2}\right)\) makes both \(2x+y=\frac{7}{2}\) and \(x-2y=\frac{11}{2}\) true. Check the intersection point in both equations.
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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