Question

Find the value of b such that the system of equations- 15x - 9y = 1310x + by=13does not have a solution.

Answer 1

For no solution condition is,

`\frac{a_1}{a_{2_{}}}=(b_1)/(b_2)\\e(c_1)/(c_2)`

Here, a_1 is coefficient of x in equation 1, b_1 is coefficient of y in equation 1 and c_1 i constant term.

Determine the value of b.

`\begin{gathered} -(15)/(10)=-(9)/(b) \\ b=(10\cdot9)/(15) \\ =6 \end{gathered}`

So value of b is 6.