Friday, August 15, 2008

Solving multi step Equations

Some equations cann't solved by single step .These equations can be solved in multi steps.

Example: Solve for x , 5x + 9 = 44
Step -1: Reverse of addition is subtraction.
5x + 9 - 9 = 44 – 9 ( subtracting 9 from both sides)
5x = 35
Step – 2 : Reverse of multiplication is division
5x/5 = 35 / 5 ( dividing both sides by 5)
x = 7

Practice :solve
2x + 3 = 7
7x + 9 = 44
22 + 3x = 41

Example: Solve for x , 2x – 7 = 1
Step -1: Reverse of subtraction is addition:
2x + 7 - 7 = 1 + 7 ( adding 7 to both sides)
2x = 8
Step – 2 :Reverse of multiplication is division :
2x /2= 8 /2( dividing both sides by 2)
x = 4
Practice :Solve
7x – 8 = 6
4y – 15 = 25
8p – 12 = 12

Example : Solve for x ,
x + 8 = 24
--
5
Step -1 :Reverse of addition is subtraction :
X + 8 – 8 = 24 – 8 ( subtracting 8 from both sides)
--
5
X = 16
--
5
Step – 2 :Reverse of division is multiplication :
X * 5 = 16 * 5 ( multiplying both sides by 5)
--
5
X = 80

Practice :Solve
P + 6 = 11
--
5
X + 24 = 35
--
6
Y + 13 = 42
--
7
Example : Solve for x
x - 14 = 5
--
3
Step -1: Reverse of subtraction is addition.
x - 14 + 14 = 5 +14 ( adding 14 to both sides)
--
3
X = 19
--
3
Step – 2 :Reverse of division is multiplication
X * 3 = 19 * 3 ( multiplying both sides by 3)
---
3
X = 57

Practice :Solve
h - 9 = 18
--
4
X
-- - 4 = 9
7
p
-- - 21 = 5
6

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