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Be careful of the addition, minus and the division signs when shifting to the other side
Date Posted:
6 years ago
Thank you and can you help me with 36=1+7a
36 = 1 + 7a ( shift 1 over and you get - 1)
36 - 1 = 7a
35 = 7a ( shift 7 over and you get 35 divided by 7 )
5 = a
36 - 1 = 7a
35 = 7a ( shift 7 over and you get 35 divided by 7 )
5 = a
Idu
Whenever you move a number across the equal sign, the sign changes too.
For example
2 = 1 + a
Shift 1 over across, you get:
2 - 1 = a
1 = a
To double check,
2 = 1 + a
Since a is 1
2 = 1 + 1
2 = 2
So "a" must be 1
Another example:
5 = a - 7
Shift ( - 7 ) across, you get 5 + 7 = a
12 = a
To double check,
5 = a - 7
Since a is 12,
5 = 12 - 7
5 = 5
So "a" must be 12.
For division and multiplication, when you shift across the equal sign, the sign changes too
Example
5a = 10
Shift 5 over, you get
a = 10 ÷ 5
a = 2
To double check,
5a = 10
Since "a" is 2,
5 x 2 = 10
10 = 10
Another example:
2a = 10
Shift 2 over,
a = 10 ÷ 2
a = 5
To double check,
2a = 10
Since "a" is 5,
2 x 5 = 10
10 = 10
For example
2 = 1 + a
Shift 1 over across, you get:
2 - 1 = a
1 = a
To double check,
2 = 1 + a
Since a is 1
2 = 1 + 1
2 = 2
So "a" must be 1
Another example:
5 = a - 7
Shift ( - 7 ) across, you get 5 + 7 = a
12 = a
To double check,
5 = a - 7
Since a is 12,
5 = 12 - 7
5 = 5
So "a" must be 12.
For division and multiplication, when you shift across the equal sign, the sign changes too
Example
5a = 10
Shift 5 over, you get
a = 10 ÷ 5
a = 2
To double check,
5a = 10
Since "a" is 2,
5 x 2 = 10
10 = 10
Another example:
2a = 10
Shift 2 over,
a = 10 ÷ 2
a = 5
To double check,
2a = 10
Since "a" is 5,
2 x 5 = 10
10 = 10
done
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Always try to reduce the number of letters you see. In this case, subtract 2q from both right and left sides to simplify the expression.
2q - 2q = 0 and 7q - 2q = 5q.
The expression has become: 0+10 = 5q which is the same as 5q = 10.
Then, we divide both 5q and 10 by 5 to simplify the expression to q = 2.
2q - 2q = 0 and 7q - 2q = 5q.
The expression has become: 0+10 = 5q which is the same as 5q = 10.
Then, we divide both 5q and 10 by 5 to simplify the expression to q = 2.
Date Posted:
6 years ago