What does it mean to solve an equation, have the variables cancel out, and have the answer be 3=3, for example?
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1 point
one solution
infinite solutions
no solution
what is the anwer
11 answers
The answer is "infinite solutions". When solving an equation, the goal is to find the values of the variables that make the equation true. If all the variables cancel out and you are left with a statement that is always true, such as 3=3, it means that the equation is true for any value of the variables. Therefore, it has infinitely many solutions.
Solve for x: 2x + 4 + 3x = 39
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1 point
x = 13
x = 7
x = 39
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1 point
x = 13
x = 7
x = 39
To solve the equation 2x + 4 + 3x = 39, we need to combine like terms and isolate the variable x.
First, let's combine the like terms on the left side of the equation:
2x + 4 + 3x = 39
5x + 4 = 39
Next, let's isolate the variable x by subtracting 4 from both sides of the equation:
5x + 4 - 4 = 39 - 4
5x = 35
Finally, let's solve for x by dividing both sides of the equation by 5:
5x/5 = 35/5
x = 7
Thus, the solution to the equation is x = 7.
First, let's combine the like terms on the left side of the equation:
2x + 4 + 3x = 39
5x + 4 = 39
Next, let's isolate the variable x by subtracting 4 from both sides of the equation:
5x + 4 - 4 = 39 - 4
5x = 35
Finally, let's solve for x by dividing both sides of the equation by 5:
5x/5 = 35/5
x = 7
Thus, the solution to the equation is x = 7.
What are the order of operations?
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1 point
Parenthesis Multiplication Addition Division Exponents Subtraction
1st step
2nd step
3rd step
4th step
5th step
6th step
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1 point
Parenthesis Multiplication Addition Division Exponents Subtraction
1st step
2nd step
3rd step
4th step
5th step
6th step
The order of operations is as follows:
1st step: Parentheses
2nd step: Exponents
3rd step: Multiplication and Division (from left to right)
4th step: Addition and Subtraction (from left to right)
In other words, when solving an expression or equation, you should first simplify any operations inside parentheses, then evaluate any exponents. After that, perform any multiplication and division operations from left to right, and finally, perform any addition and subtraction operations from left to right.
1st step: Parentheses
2nd step: Exponents
3rd step: Multiplication and Division (from left to right)
4th step: Addition and Subtraction (from left to right)
In other words, when solving an expression or equation, you should first simplify any operations inside parentheses, then evaluate any exponents. After that, perform any multiplication and division operations from left to right, and finally, perform any addition and subtraction operations from left to right.
If there is no number before a variable, is there a coefficient and what would it be?
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1 point
0
1
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1 point
0
1
If there is no number before a variable, the coefficient is 1.
In algebraic expressions, a coefficient is the number that multiplies the variable. If there is no explicit number written before the variable, it is assumed to be 1. For example, in the expression 5x, the coefficient is 5, while in the expression x, the coefficient is 1.
In algebraic expressions, a coefficient is the number that multiplies the variable. If there is no explicit number written before the variable, it is assumed to be 1. For example, in the expression 5x, the coefficient is 5, while in the expression x, the coefficient is 1.
Solve the equation: 6(x-2) -2x = 4x
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1 point
x= -12
x = 0
-12=0 no solution
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1 point
x= -12
x = 0
-12=0 no solution
To solve the equation 6(x-2) - 2x = 4x, we need to simplify and isolate the variable x.
First, let's apply the distributive property by multiplying 6 to both terms inside the parentheses:
6x - 12 - 2x = 4x
Next, combine like terms on the left side of the equation:
(6x - 2x) - 12 = 4x
4x - 12 = 4x
Now, let's move the term with x to one side of the equation by subtracting 4x from both sides:
4x - 4x - 12 = 4x - 4x
-12 = 0
Since -12 is not equal to 0, the equation -12 = 0 has no solution.
Therefore, the original equation 6(x-2) - 2x = 4x also has no solution.
First, let's apply the distributive property by multiplying 6 to both terms inside the parentheses:
6x - 12 - 2x = 4x
Next, combine like terms on the left side of the equation:
(6x - 2x) - 12 = 4x
4x - 12 = 4x
Now, let's move the term with x to one side of the equation by subtracting 4x from both sides:
4x - 4x - 12 = 4x - 4x
-12 = 0
Since -12 is not equal to 0, the equation -12 = 0 has no solution.
Therefore, the original equation 6(x-2) - 2x = 4x also has no solution.
what is the anwers
Apologies for the mistake in my previous response.
The correct answer is:
Since we have reached the equation -12 = 0, which is false, we conclude that there is no solution to the equation 6(x-2) - 2x = 4x. So, the correct answer is "no solution."
The correct answer is:
Since we have reached the equation -12 = 0, which is false, we conclude that there is no solution to the equation 6(x-2) - 2x = 4x. So, the correct answer is "no solution."
1 answer