For what value of k the following system of equations have unique solution 2x+ky=1; 3x-5y=7 - Maths - Pair of Linear Equations in Two Variables

Question

For what value of k the following system of equations have
unique solution 2x+ky=1; 3x-5y=7

Chetna Khanna · Accepted Answer

Given equations are 2x + ky = 1 and 3x â€“ 5y = 7 Two equations will have unique solution if $\frac{a_{1}}{a_{2}} \neq \frac{b_{1}}{b_{2}} i e \frac{2}{3} \neq \frac{k}{- 5} \Rightarrow k \neq \frac{- 10}{3}$ So, the given system of equations will have unique solution for all values of k except $\frac{- 10}{3}$

For what value of k the following system of equations have unique solution 2x+ky=1; 3x-5y=7.