[tex]y = -\dfrac 25 x +1~~~......(i)\\\\\\y = 3x-2~~~......(ii)\\\\\\\text{Substitute}~ y = 3x -2~ \text{in equation (i):}\\\\\\3x -2 = -\dfrac 25 x +1\\\\\implies 3x + \dfrac{2x}{5} = 1 +2\\\\\implies \dfrac{17x}{5} = 3\\\\\implies 17x = 15\\\\\implies x = \dfrac{15}{17}\\\\\\\text{Substitute}~ x = \dfrac{15}{17}~ \text{in equation (ii):}\\\\\\y = 3\cdot \dfrac{15}{17} -2 = \dfrac{45}{17} - 2 =\dfrac{11}{17}\\\\\\\text{Hence,}~~ (x,y)= \left(\dfrac{15}{17}, \dfrac{11}{17} \right)[/tex]
