Question

Is (7, 2) a solution to this system of inequalities? 4x + 7y > 13 2x + y 2 19

Answer 1

`\begin{gathered} \Rightarrow4x+7y=13..(1) \\ \Rightarrow2x+y=19 \\ y=19-2x\ldots(2) \\ \text{Substitute the value of the y in the equation 1.} \\ 4x+7(19-2x)=13 \\ 4x+133-14x=13 \\ -10x=-120 \\ x=12 \\ \text{Substitute the value of x in the equation (2)} \\ y=19-2*12 \\ y=-5 \\ So,\text{ the given option is not the solution.} \end{gathered}`

You can also check the solution by putting the value of x and y in the equation to get the equality.