5x + 3y = 9 ……. (i)2x + 3y = 12 ……… (ii)

1.	5x + 3y = 9 ……. (i)2x + 3y = 12 ……… (ii)
Answer» ANSWER : x = 3. and y = -2. Given : We have equation, 5x + 3y = 9. 2x -3y = 12. Solution : We have two equation, $\tt5x + 3y = 9. - - - (1)$ $\tt2x - 3y = 12. - - - (2)$ Let's apply Elimination method, on both Equation $\begin{tabular}{ 1-1 } 5x + 3y = 9. & \\ 2x -3y = 12. & \\ \cline{1-1} 7x = 21. & \\ \cline{1-1} \end{tabular}$ $\implies \tt x = \frac{21}{7}$ $\implies \tt x = 3.$ Now, Putting the VALUE of x in equation (2), We get. $\implies \tt 2x - 3y = 12.$ $\implies \tt 2(3)- 3y = 12.$ $\implies \tt 6- 3y = 12.$ $\implies \tt - 3y = 12 - 6$ $\implies \tt y = - \frac{12 - 6}{3}$ $\implies \tt y = - 2.$ $\rule{200}3$ Let's VERIFY : $\implies \tt5x + 3y = 9.$ $\implies \tt 5(3) + 3( - 2) = 9.$ $\implies \tt 15 - 6 = 9.$ $\implies \tt 9 = 9.$ Therefore, the value of x = 3 and y= -2.

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