Question 442241: 1. For three consecutive integers, when four times the third is subtracted from five times the first, the result is –4. Find the integers.
2. If six is added to three times a certain number, the result is 24. Find the number.
6+3x=24
-6 -6
3x= 18
x=6
3. If two is subtracted from five times a certain number, the result is 38. Find the number.
5x-2=38
-2 -2
5x=36
x=7.2
4. Nineteen is four larger than three times a certain number. Find the number.
19 = 4+3x
4+3x=19
3x=15
x=5
Found 2 solutions by stanbon, traz530:
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! 1. For three consecutive integers, when four times the third is subtracted from five times the first, the result is –4. Find the integers.
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1st: x-1
2nd: x
3rd: x+1
Equation:
5(x-1)-4(x+1) = -4
5x-5-4x-4 = -4
x = 5
---
1st: x-1 = 4
2nd: x = 5
3rd: x+1 = 6
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2. If six is added to three times a certain number, the result is 24. Find the number.
3x+6 = 24
3x = 18
x = 6
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3. If two is subtracted from five times a certain number, the result is 38. Find the number.
5x-2 = 38
5x = 40
x = 8
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4. Nineteen is four larger than three times a certain number. Find the number.
19 = 3x+4
3x = 15
x = 5
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Cheers,
Stan H.
Answer by traz530(1)  (Show Source):
You can put this solution on YOUR website! 1. For three consecutive integers, when four times the third is subtracted from five times the first, the result is –4. Find the integers.
2. If six is added to three times a certain number, the result is 24. Find the number.
6+3x=24
-6 -6
3x= 18
x=6
3. If two is subtracted from five times a certain number, the result is 38. Find the number.
5x-2=38
-2 -2
5x=36
x=7.2
4. Nineteen is four larger than three times a certain number. Find the number.
19 = 4+3x
4+3x=19
3x=15
x=5
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