At which point will the lines \(2x-5y=1\) and \(3x+2y=22\) meet on the graph?
Answer and explanation
Correct answer: \(\left(\frac{112}{19},\frac{41}{19}\right)\)
Elimination gives \(19x=112\), so \(x=\frac{112}{19}\) and \(y=\frac{41}{19}\). A graphical solution may also have fractional coordinates.
Frequently asked questions
What is the correct answer to this question?
\(\left(\frac{112}{19},\frac{41}{19}\right)\)
Why is this the correct answer?
Elimination gives \(19x=112\), so \(x=\frac{112}{19}\) and \(y=\frac{41}{19}\). A graphical solution may also have fractional coordinates.
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..