Question

Tell us wether the order paid (9,2) is a solution of the system

Answer 1

Given,

`\begin{gathered} x-4y=1\ldots\ldots(1) \\ 2x-3y=3\ldots\text{.}\mathrm{}(2) \end{gathered}`

Multiply equation (1) by 2.

`2x-8y=2\ldots\text{.}\mathrm{}(3)`

Solve equation (2) and (3)

`\begin{gathered} 5y=1 \\ y=(1)/(5) \end{gathered}`

Put y = 1/5 in the equation (1)

`\begin{gathered} x-4*(1)/(5)=1 \\ x=1+(4)/(5) \\ x=(9)/(5) \end{gathered}`

Thus, the value of (x,y) will be (1/5,9/5).

Thus, the given point (9,2) is not the solution.