Concept explainers
Create an equation with at least two grouping symbols for which there is no solution.
Answer to Problem 44HP
No solution.
Explanation of Solution
Given:
Condition given: Create an equation with at least two grouping symbols for which there is no solution.
Concept Used:
Make a equation with the coefficient of the leading term is a fraction with variable and in the right side there must be a variable term.
In an equation the variable term in the left side and right side are same, the equation has no solutions (if no value of the variable makes the equation true).
Inconsistent equations: No solutions
For example, 3=3 is an identity equation. An equation like 3=5 is an inconsistent equation, since 3 is not equal to 5. If in the process of solving an equation we end up with an inconsistent equation, then the original equation has no solutions.
Calculation:
Let the variable be ‘x’.
Steps | Explanation |
Let the variable is x, make an expression is (sum, difference, product, quotient) of any integer and x | |
In the right side make another expression, which has the same coefficient of x of left side | |
The final Equation |
Steps | Explanation |
Open the parenthesis by using the distributive method of multiplication. . | |
Simplify both sides and both the sides are having same coefficient of x | |
Add 16x to both sides | |
Inconsistent equations: No solutions |
Inconsistent equations: No solutions
For example, 3=3 is an identity equation. An equation like 3=5 is an inconsistent equation, since 3 is not equal to 5. If in the process of solving an equation we end up with an inconsistent equation, then the original equation has no solutions.
Thus, the solution of the equation
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