Hello! I would love to help!
Let's start with this part of the equation: "the sum of a number and seven"
Alright. We know that x represents an unknown number. Do you see a part of the equation that could translate to "an unknown number?"
I see "a number." So let's fill X in for "a number.
Alright. So now we have "the sum of x and 7."
Next, let's remember that sum means adding. So we just need to 7 to x
X+7
So, now instead of "the sum of a number and 7" we have x+7.
Alright. Now we just have to do the "twice." When it is asking for "twice", it is asking us to multiply our answer by two. But we need to multiply both x and 7. The best way to do that is to put our "x+7" in parenthesis and put a two outside.
2(x+7)
That's your answer! 2(x+7)
Hope this helped! Comment if you have any questions!
Answer:
yes
Step-by-step explanation:
Answer:
The Distributive Property.
Step-by-step explanation:
4(x - 1) = 12
When distributing out the 4, it must go to all the terms within the brackets like this:
4x - 4 = 12.
4x = 16
x = 4.
Answer:
His son did.
Step-by-step explanation:
His son: 1/4 = 25%
Mr. Strand: 2/5 = 20%
They also need 55% more to wash or in other words 11/20.
Okay, so, to find out if an equation has one solution, an infinite number of solutions, or no solutions, we must first solve the equation:
(a) 6x + 4x - 6 = 24 + 9x
First, combine the like-terms on both sides of the equal sign:
10x - 6 = 24 + 9x
Now, we need to get the numbers with the variable 'x,' on the same side, by subtracting, in this case:
10x - 6 = 24 + 9x
-9x. -9x
______________
X - 6 = 24
Now, we do the opposite of subtraction, and add 6 to both sides:
X - 6 = 24
+6 +6
_________
X = 30
So, this particular equation has one solution.
(a). One solution
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(b) 25 - 4x = 15 - 3x + 10 - x
Okay, so again, we combine the like-terms, on the same side of the equal sign:
25 - 4x = 25 - 2x
Now, we get the 2 numbers with the variable 'x,' to the same side of the equal sign:
25 - 4x = 25 - 2x
+ 2x + 2x
________________
25 - 2x = 25
Next, we do the opposite of addition, and, subtract 25 on each side:
25 - 2x = 25
-25 -25
___________
-2x = 0
Finally, because we can't divide 0 by -2, this tells us that this has an infinite number of solutions.
(b) An infinite number of solutions.
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(c) 4x + 8 = 2x + 7 + 2x - 20
Again, we combine the like-terms, on the same side as the equal sign:
4x + 8 = 4x - 13
Now, we get the 'x' variables on the same side, again, and, we do that by doing the opposite of addition, which, is subtraction:
4x + 8 = 4x - 13
-4x -4x
______________
8 = -13
Finally, because there is no longer an 'x' or variable, we know that this equation has no solution.
(c) No Solution
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I hope this helps!