Maths

Fill in the other coordinate for the line

3x−5y=2 

(2,y )

$\begin{array}{|rcll|} \hline 3x-5y &=& 2 \quad & | \quad x = 2\\ 3\cdot 2-5y &=& 2 \\ 6 - 5y &=& 2 \quad & | \quad \cdot (-1) \\ -6 + 5y &=& -2 \quad & | \quad +6 \\ 5y &=& -2 +6 \\ 5y &=& 4 \quad & | \quad :5 \\ y &=& \frac{4} {5} \\ \hline \end{array}$

$(2,y ) = (2,\frac{4} {5} )$

(2, 4/5) because 3(2) - (5y) = 2 which is 6 - 4 = 2 this then means 5y = 4 which is 4/5