Good day every one, in this post i will teach you how to deal with Solution of equations by collecting the like terms.Before you will able to solve this mathematics you have familiar with open sentences and algebra process.
You must understand how to add or subtract a given number to both sides.
Like: -1 +2-2 = 4 - 2 or 4a - 5 +5 = 19 +5 and so on.
If really want to understand this math, you have to pay attention very well, let go.....
Examples
Solve the following equations
a. 2y + 5 = 4y +7
b. 3(a - 2) = 2(a - 1)
c. 2r + 25 = 7 + 4r
Solution
a. 2y + 5 = 4y +7
(Collect like terms on one side by subtracting 2y and 4y are like terms.)
2y + 5- 4y = 4y +7 - 4y (4y - 2y = - 2y)
- 2y + 5 = 7
(subtract 5 from both sides)
- 2y + 5 - 5 = 7 - 5
- 2y = 2
( divide both sides by -2)
- 2y 2
---------- = ---------
2 -2
y = -1
Like i said earlier , before you can understand this math, u must be familiar with an open sentences mathematics.
b. 3(a - 2) = 2(a - 1)
3a - 6 = 2a - 2
(Collect like terms on one side by subtracting 2a and 3a are like terms.)
3a - 6 - 2a = 2a - 2 - 2a ( 3a - 2a = a while 2a and 2a will go away.)
a - 6 = -2
( add 6 to both sides)
a - 6 + 6 = -2 + 6 ( according to number line - 2 + 6 = 4)
a = 4
c. 2r + 25 = 7 + 4r
2r + 25 - 4r = 7 + 4r - 4r
- 2r + 25 = 7
( subtract 25 from both sides)
- 2r + 25 - 25 = 7 - 25
- 2r = 28
( divide both sides by - 2)
- 2r 28
----------- = ----------
-2 -2
r = -9
Let look at another examples
1. Calculate the value of this shape
Solution
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