Solve for X:
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Solve for X:
To solve the given problem, we'll proceed as follows:
Now, let's work through each step:
Step 1: Simplify the left side: .
Step 2: Simplify the right side: .
The simplified equation becomes:
To solve for , we attempt to isolate . If we add to both sides to eliminate the terms, we get:
This results in a contradiction, as 3 is not equal to 5, indicating that there is no value of that can satisfy this equation.
Therefore, the solution to the problem is no solution as indicated by the contradiction.
No solution
\( x+7=14 \)
\( x=\text{?} \)
It means no number can replace x to make the equation true. When you simplify and get something impossible like 3 = 5, the original equation has no solution.
Very different! When x = 0, zero is the solution. 'No solution' means not even zero works - no number at all can satisfy the equation.
Yes! Verify by substituting any number for x in the original equation. You'll see that the left and right sides never equal each other, confirming no solution.
Double-check your combining of like terms! Make sure you have . If your simplification is correct and you get a false statement, then no solution is right.
No! Linear equations can have:
You can write: 'No solution', '∅' (empty set symbol), or 'The equation has no solution'. All are correct ways to express this!
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