- #1
davie08
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Homework Statement
if (4x+1) + 6 = 9, then x=?
Homework Equations
The Attempt at a Solution
the answer is -1 and 1/2, but how could -1 work wouldn't that make the answer 3 instead of 9.
The equation is linear, so there can be only one solution (x = 1/2). Are you sure you have written the equation correctly?davie08 said:Homework Statement
if (4x+1) + 6 = 9, then x=?
Homework Equations
The Attempt at a Solution
the answer is -1 and 1/2, but how could -1 work wouldn't that make the answer 3 instead of 9.
I still think there's a possibility that you didn't copy the question right. If there were absolute value symbols instead of parentheses:davie08 said:Homework Statement
if (4x+1) + 6 = 9, then x=?
...
the answer is -1 and 1/2, but how could -1 work wouldn't that make the answer 3 instead of 9.
eumyang said:I still think there's a possibility that you didn't copy the question right. If there were absolute value symbols instead of parentheses:
|4x+1| + 6 = 9
... then there would indeed be two solutions, -1 and 1/2.
The other possibility is that some fool, who typed up the exam, replaced "|" with "(" and ")"!eumyang said:I still think there's a possibility that you didn't copy the question right. If there were absolute value symbols instead of parentheses:
|4x+1| + 6 = 9
... then there would indeed be two solutions, -1 and 1/2.
Did you not read the other replies? The problem is, almost certainly, to solveshiva999 said:answer is only 1/2,and i don't know how you got -1.
HallsofIvy said:Did you not read the other replies? The problem is, almost certainly, to solve
|4x+ 1|+ 6= 9, not (4x+ 1)+ 6= 9.
Basic solving for variable question is a type of mathematical problem where you are given an equation and asked to determine the value of a variable within that equation.
The steps for solving a basic solving for variable question are:
1. Identify the variable you need to solve for.
2. Use inverse operations to isolate the variable on one side of the equation.
3. Simplify both sides of the equation.
4. Divide both sides by the coefficient of the variable.
5. Check your answer by plugging it back into the original equation.
Inverse operations are mathematical operations that "undo" each other. For example, addition and subtraction are inverse operations, as are multiplication and division. In solving for a variable, you use inverse operations to isolate the variable on one side of the equation.
Yes, as long as the equation contains only one variable and the variable is not in the denominator of a fraction. If the variable is in the denominator, you will need to multiply both sides of the equation by the denominator to eliminate it before solving.
Some common mistakes to avoid when solving for a variable are:
1. Forgetting to perform the same operation on both sides of the equation.
2. Making calculation errors.
3. Forgetting to check your answer by plugging it back into the original equation.
4. Not being careful with negative signs.
5. Not following the order of operations.