HOW TO REVERSE THE MATH SOLUTION YOU HAVE DONE? Please tell the answer. Pleaseeeeeeeeeeeeeeee. I am from India. And one more
Answers
Answer:
Reversing Operations
The goal in solving an equation is to get the variable by itself on one side of the equation and a number on the other side of the equation.
To isolate the variable, we must reverse the operations acting on the variable. We do this by performing the inverse of each operation on both sides of the equation. Performing the same operation on both sides of an equation does not change the validity of the equation, or the value of the variable that satisfies it.
Reversing Multiple Operations
When more than one operation acts on a variable in an algebraic equation, apply the reverse of the order of operations to reverse the operations. Here is the order in which you should reverse operations:
Reverse addition and subtraction (by subtracting and adding) outside parentheses.
Reverse multiplication and division (by dividing and multiplying) outside parentheses.
Remove (outermost) parentheses, and reverse the operations in order according to these three steps.
Example 1: Solve for x: 5x + 9 = 44
Reverse addition: 5x + 9 - 9 = 44 - 9
5x = 35
Reverse multiplication: =
x = 7
No parentheses.
Check: 5(7) + 9 = 44
Thus, x = 7.
Example 2: Solve for y: 3( - 1) = 15
No addition or subtraction Outside The Parentheses
Reverse multiplication: 3( -1)÷3 = 15÷3
( - 1) = 5
Within parentheses:
Reverse subtraction: - 1 + 1 = 5 + 1
= 6
Reverse division: ×4 = 6×4
y = 24
No parentheses.
Check: 3( - 1) = 15
Thus, y = 24.
Example 3: Solve for z: 4(3(z - 11) + 6) = 48
No addition or subtraction.
Reverse multiplication: =
(3(z - 11) + 6) = 12
Within parentheses:
Reverse addition: 3(z - 11) + 6 - 6 = 12 - 6
3(z - 11) = 6
Reverse multiplication: =
(z - 11) = 2
Within parentheses
Reverse subtraction: z - 11 + 11 = 2 + 11
z = 13
No multiplication or division.
No parentheses.
Check: 4(3(13 - 11) + 6) = 48
Thus, z = 13.
Step-by-step explanation:
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