Answer:
one solution: x = 5/7
Step-by-step explanation:
Eliminating parentheses, you have ...
3x -6 +7x = 3x -1
10x -6 = 3x -1 . . . . . collect terms
7x -6 = -1 . . . . . . . . . subtract 3x
7x = 5 . . . . . . . . . . . add 6
x = 5/7 . . . . . . . . . . divide by 7
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One way to answer a question like this is to subtract one side from the equation, so it is <something> = 0.
If the <something> is 0, there are infinite solutions.
If the <something> is a constant not zero, there are no solutions.
If the <something> is a linear expression with a variable in it, there will be one solution.
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Doing that here gives ...
3(x -2) +7x -1/2(6x -2) = 0 . . subtract the right side
3x -6 +7x -3x +1 = 0 . . . . . . eliminate parens
7x -5 = 0 . . . . . . . . . . . . . . . . collect terms. There is one solution.
Answer:
a. 16 square inches
Step-by-step explanation:
Commutative property of addition
The commutative property is when parts of an equation can be moved around, but give the same answer.
The total number of sugar will be 9/4.
<h3>What is the unitary method?</h3>
The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.
A Baker Had 1/3 Cups Of Sugar.
he Added 1/9 Cups To It
Let the number of sugar be x
x (1/3) + 1/9x = 1
3x + 1x = 9
4x = 9
x = 9/4
Hence, the total number of sugar will be 9/4.
Learn more about the unitary method;
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Answer:
The solution is 
Step-by-step explanation:
We have the following equation:
![\sqrt[3]{5x-3} + 8 = 6](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B5x-3%7D%20%2B%208%20%3D%206)
We place everything with the root on one side, everything without on the other site of the equality. So:
![\sqrt[3]{5x-3} = -2](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B5x-3%7D%20%3D%20-2)
Elevating both sides to 3, we can isolate x
![\sqrt[3]{5x-3}^{3} = (-2)^{3}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B5x-3%7D%5E%7B3%7D%20%3D%20%28-2%29%5E%7B3%7D)
Checking
![\sqrt[3]{5(-1) - 3)} + 8 = \sqrt[3]{-8} + 8 = -2 + 8 = 6](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B5%28-1%29%20-%203%29%7D%20%2B%208%20%3D%20%5Csqrt%5B3%5D%7B-8%7D%20%2B%208%20%3D%20-2%20%2B%208%20%3D%206)
