Question

Solve using the substitution method.
1/2x-1/5y = 7,
1/6x+ 2/3= -4

Answer 1

take 1/x = u and 1/y = v, then equations become
u/2-v/5=7
u/6+2/3=-4..

solve these with normal method then set 1/x = u and solve for x and y :D

Answer 2

Solve both equations for y..

Set y = y and substitute the equations in terms of x in their place, then solve for x

Answer 3

Is this right?
1/2x-1/5y = 7, ---1)

1/6x+ 2/3= -4 ---2)
Rearrange equation 2)
1/6x+ 2/3= -4
1/6x = -4 -2/3
x = -28
substitute x = -28 into 1)
1/2 x -28 -1/5y =7
-14 - 1/5y = 7
1/5y = -14 -7
y = 105