Answer :
The value of the x for the equation y = 3 / x + 5 - 16 / z - 1 is x = 3z / (16 - 4z)
What is an algebraic expression?
An algebraic expression is a sequence or a combination of characters which may contain numbers, symbols, operators and operands which is used in the subject algebra that is a part in the mathematical domain.
Why are algebraic expressions important?
Algebraic expressions are important because it can break down a problem and can stimulate our mind to focus on the main key elements for a problem which can be used as variables that may or may not contain a value(s). It makes the problem simpler and can derive a precise solution for all possible valid test cases for that particular solution.
The solution for each problem is unique but we can relate them with the help of algebra. There are other ways to relate problem too but algebra is the backbone for every ambiguous or known problem that can we changed for a large number or for a combination of large number of values.
When we equate an algebraic equation to a value or to some RHS terms we call it an algebraic equation.
An algebraic equation can have no, one or multiple values or solutions.
Given: y = 3 / x + 5 - 16 / z - 1, solve for x when y = 0
Putting y = 0, we get:
0 = 3 / x + 5 - 16 / z - 1
Now, adding 16 / z on both sides
0 + 16 / z = 3 / x + 5 - 16 / z - 1 + 16 / z
=> 16 / z = 3 / x + 5 - 1
=> 16 / z = 3 / x + 4
Multiplying z on both sides
16 / z × z = z × (3 / x + 4)
=> 16 = 3z / x + 4z
Adding (-4z) on both sides
16 + (-4z) = 3z / x + 4z + (-4z)
16 - 4z = 3z / x
Multiplying 1 / (16 - 4z) on both sides
(16 - 4z) × 1 / (16 - 4z) = (3z / x) × 1 / (16 - 4z)
1 = 3z / x(16 - 4z)
Multiplying x on both sides
1 × x = 3z / x(16 - 4z) × x
x = 3z / (16 - 4z)
Therefore the answer is x = 3z / (16 - 4z)
The value of the x for the equation y = 3 / x + 5 - 16 / z - 1 is x = 3z / (16 - 4z)
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