Table of Contents

Example 2 :
Exercises:
Solve for x in terms of y.
1 + 2xy
y + 1
= 3x
(1 + 2xy)
(y + 1) ×
(y + 1)
= (y + 1)3x (multiplying both sides by (y + 1))
1 + 2xy = 3xy + 3x
Example 3 :
Solve for y in terms of x.
1 = xy + 3x
1 = x(y + 3) (factoring to separate the x)
x =
1
y + 3
4 + x
3y2 =
x + 1
2y
6y2 (4 + x)
3y2 = 6y2 (x + 1)
2y
(multiply both sides by 6y2 )
2(4 + x) = 3y(x + 1)
2(4 + x)
(x + 1)
= 3y isolate y
y =
2(4 + x)
3(x + 1)
In the last two steps, we were aiming to make x the subject of the equation.
1. Solve for x:
(a) x+8
5
(b) x+1
3
(c) 3(x−2)
(d)
4
4
x+1
− x−2
3
+ x−4
2
= 4
= 5
2(x+1)
− 5
+ 3
x−4
5 2
(e) + x+3 2x+6
= 2
x+1
= 4
1 = 10
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