m = $\frac{\mathrm{b}}{2}$ - t

Get rid of the fraction by multiplying both sides of the equation by the denominator (2)

2 x m = b - 2 x t
2m = b - 2t
2m + 2t = b
2t = b - 2m

Divide both sides by 2 so that t can stand alone.

t = $\frac{\mathrm{b\; -\; 2m}}{2}$

Divide both sides of the equation by πr² since its multiplying the h

Since the left hand side is equal to the right hand side, you can switch positions

ASSIGNMENT

Make r the subject of the relation V = πr²h.

SOLUTION

Since π and h are multiplying r², divide both sides by πr

Take square root of both sides so that the square root cancels the square power on top of the r

Get rid of the fraction by multiplying both sides of the equation by the LCM of the denominators (1 and x). The LCM is x

NOTE: y = y/1 (Every number or letter is being divided by 1)

⇒ y x x = n - x

Move the x at the right to the left in order for n to stand alone (the subject)

⇒ yx+x = n

Factorize x out at the left side of the equation

⇒ x(y+1) = n

⇒ n = x(y+1)

Solve for the value of x (Make x the subject)

2x – 1 = 5
2x = 5 + 1
2x = 6

Divide both sides by 2

2x/2 = 6/2

x = 3

NOTE: When negative crosses the equal to sign, it becomes positive, hence the -1 becomes +1 when it moves to the right hand side.

Solve: (1-x)÷3<4

Get rid of the denominators by multiplying both sides of the equation by L.C.M. Every number is divisible by 1.

The L.C.M of 3 and 1 is 3

Divide both sides by -1.

NOTE: When dividing x by negative, the sign must change x > -11

Alternatively you can take the x to the right hand side and the numbers to the left.

Which reads -11 is less than x

Hence if -11 is less than x means x is also greater than – 11.

Hence x > -11

Let’s test

Hence x > -11 is correct

Testing x < -11 is option too. Numbers less than -11 are -12, -13, -14, -15 etc.

when x = -12

p = $\frac{\mathrm{r\; -\; 4y}}{3}$

Get rid of the fraction by multiplying both sides by the denominator, 3

3 x p = $\frac{\mathrm{r\; -\; 4y}}{3}$ x 3

3p = r - 4y

Move the y to the left and p to the right. Negative becomes positive and positive, negative

4y = r - 3p

Divide both sides by 4

y = $\frac{1}{4}$(r - 3p)