Question

solve the equation for x and y by elimination method x/3+y/4=4,5x/6-y/8=4

Answer 1

On solving the given equations using elimination method, we get x = 6,

y = 8.

• Given equations are

                $\frac{x}{3}+\frac{y}{4}=4------------(1)$

                $\frac{5x}{6}-\frac{y}{8}=4------------(2)$

• Dividing (1) by 2, we get

                $\frac{x}{6}+\frac{y}{8}=2------------(3)$

• Adding (2) and (3)

                $\frac{5x}{6}+\frac{x}{6}-\frac{y}{8}+\frac{y}{8}=4+2$

                $\frac{6x}{6}=6$

                 x = 6

• Substituting 'x' in (1), we get

                $\frac{6}{3}+\frac{y}{4}=4$

                $\frac{y}{4}=2$

                y = 8