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Over [174]
3 years ago
10

Which one of these equations has one solution, and which has no solutions? (Math)

Mathematics
1 answer:
Naily [24]3 years ago
7 0

One solution means that x will only equal one number.

Many solutions means that no matter what number you replace x with, the equation will still be true.

No solution means that no matter what number you replace x with, the equation will be false, as both sides will not match.

One solution: x - 2 = 12

Check: Isolate the variable, x. Add 2 to both sides. Note the equal sign, what you do to one side, you do to the other:

x - 2 (+2) = 12 (+2)

x = 12 + 2

x = 14

Many solution: x + 3 = 3 + x

Check: Plug in numbers for x. If no matter what number you plug in, the equation is true, there is infinite amount of solutions:

If x = 1:

1 + 3 = 3 + 1

4 = 4

If x = 2:

2 + 3 = 3 + 2

5 = 5

etc.

No solution: x - 1 = x + 5

Check: No matter what number you plug in for x, both sides of the equation will not match. Check:

If x = 1:

1 - 1 = 1 + 5

0 ≠ 6

If x = 2:

1 - 2 = 2 + 5

-1 ≠ 7

etc.

~

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What is the answer for this problem in the picture
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<u>Answer:</u>

The correct answer option is = 8 x ^ 4 y z ^ 4 \sqrt{2yz}.

<u>Step-by-step explanation:</u>

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Can someone please answer number 14 a, b and c? Thank you.
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For a, we have 42in/9ft. Since 12 inches are in 1 foot, we can multiply it by that to get (42in/9ft)*(1ft/12inches) = 42/108. We put the foot on the top of 1ft/12in to cancel them out. Since 2 goes into both 42 and 108, we divide it by 2/2 to get 26/54. Repeating the process again, we get 13/27

If we were to say that there are 12 inches in a foot and therefore divide 42 by 12 (to get 42 inches in feet), we'd get the same answer due to that 1 foot is equal to 12 inches and if you were to divide it by 1 foot/12 inches, since they are the same thing, you get the same answer

For c, since it may be hard to get (42/12)/9, it could just be easier to have 42/(9*12)=42/108
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3 years ago
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