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Concept explainers
Determine whether the given value of the variable is a solution of the equation. Answer Yes or No.
4 − (6 − x) = 5x – 8
a.
b.
a.
![Check Mark](/static/check-mark.png)
Whether
Answer to Problem 1PCT
Yes,
Explanation of Solution
Definition used:
Solution of a linear equation:
The value(s) of the variable that satisfies the equation or makes the equation a true statement is known as solution(s) of a linear equation.
Calculation:
Consider the linear equation
Replace the variable x with
Simplify the values.
Simplify further as follows.
Here, both sides of the equation are equal when the variable x is replaced by
Therefore,
b.
![Check Mark](/static/check-mark.png)
Whether
Answer to Problem 1PCT
No,
Explanation of Solution
Consider the linear equation
Replace the variable x with
Simplify the values.
Simplify further as follows.
Here, both sides of the equation are not equal when the variable x is replaced by
Therefore,
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Elementary & Intermediate Algebra
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