Question

How do you solve this system of equations: `\frac { x } { 5} + y = \frac { - 14} { 5};\frac { x } { 7} + y = \frac { - 24} { 7}`?

Answer 1

x = 11 & y = - 5

Explanation:

Multiply 1st equation by 5 and 2nd equation by 7, we get

x + 5 y = - 14............(i)
& x + 7 y = - 24........(ii)

Now subtract (ii) from (i) we get 2 y = - 10 or, y = - 5.

Now put the value of y = - 5 into equation no (i), we get

x + 5. ( - 5) = - 14

or, x = - 14 + 25 = 11

Hence x = 11 & y = - 5