Saved Bookmarks
| 1. |
Show that the system of equations 2x + 5y = 17, 5x + 3y = 14 has a unique solution. |
|
Answer» Given system of equations are 2x + 5y = 17, 5x + 3y = 14. Comparing given system of equations with a1 x + b1y = c1 a2x + b2y = c2. We get a1 = 2, b1 = 5, c1 = 17 And a2 = 5, b2 = 3, c2 = 14 Now, \(\frac{a_1}{a_2} = \frac{2}{5}\) and\(\frac{b_1}{b_2} = \frac{5}{3}\) ≠ \(\frac{2}{5} = \frac{a_1}{a_2}\) Since, \(\frac{a_1}{a_2} ≠ \frac{b_1}{b_2}\) . Therefore, given system of equations has a unique solution. Hence Proved. |
|