Question

Solve the system of equations:


Enter the x-coordinate in the FIRST box and the y-coordinate in the SECOND box.

Answer 1

Answer:

x = 5

y = -2

Step-by-step explanation:

Solving system of equations:

    $y = \dfrac{-5}{7}x +\dfrac{11}{7} --------------------(I)\\\\\\y = \dfrac{7}{5}x-9 -------------------------------(II)$$\sf Substitute \ y = \dfrac{7}{5}x - 9 \ in \ equation \ (I),$

         $~~~~~~~~\sf \dfrac{7}{5}x - 9 = \dfrac{-5}{7}x+\dfrac{11}{7}\\\\\\Add \ \dfrac{5}{7}x \ to \ both \ the \ sides,\\\\\\\dfrac{7}{5}x+\dfrac{5}{7}x - 9 =\dfrac{11}{7}\\\\\\Add \ 9 \ to \ both \ sides,$

            $~~~\sf \dfrac{7}{5}x +\dfrac{5}{7}x=\dfrac{11}{7}+9\\\\\\\dfrac{49x+25x}{35}x = \dfrac{11+63}{7}\\\\\\ ~~~~~~~~~~ \dfrac{74}{35}x = \dfrac{74}{7}$

                           $\sf x = \dfrac{74}{7}*\dfrac{35}{74}\\\\\\ \boxed{\bf x = 5}$

Substitute x = 5 in equation (II),

            $\sf y =\dfrac{7}{5}*5-9\\\\\\y = 7 - 9\\\\\boxed{\bf y = -2}$