Form: (ax + b)/(cx + d) = e
Condition: cx + d ≠ 0 → x ≠ -d/c
Solution method: Cross multiply and solve equation
2x + 1
x - 3 = 5
x - 3 = 5
Form: (ax + b)/(cx + d) = (ex + f)/(gx + h)
Condition: cx + d ≠ 0 and gx + h ≠ 0
Solution method: Cross multiply and solve
x + 1
x - 2 = 2x - 1
x + 3
x - 2 = 2x - 1
x + 3
Left side
Right side
Form: 1/(x-a) + 1/(x-b) = c
Condition: x ≠ a and x ≠ b
Solution method: Common denominator
1
x - 1 + 1
x - 2 = 1
x - 1 + 1
x - 2 = 1