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Shkiper50 [21]
3 years ago
8

Can u help if three times a number is increased by 4 the results is -8 . find the number

Mathematics
2 answers:
Oksi-84 [34.3K]3 years ago
8 0
Lets write x the number unknown

3x+4= -8
3x=-8-4
3x=-12
x= - 4
Fudgin [204]3 years ago
3 0
Write as an equation.

3n+4=-8

Whenever you have two things that are equal and you do the same thing to each of them, they will still be the same. We can use this to our advantage here. Just use inverse operations to get x on its own.

Subtract 4 from each side.

3n+4-4=-8-4 \\ 3n=-12

Divide each side by 3.

\frac{3n}3=\frac{-12}3 \\\\ \boxed{n=-4}
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Notice how on both sides of the equation there is one coefficient (number being multiplied by x) and a constant (just a plain number). You want all constants to be on one side and all coefficients on the other. He’s how do to that:
2x+14=-21-5
I am choosing that all constants will be on the right side, so I will do the inverse operation of any constant on the left side to remove it. Here, a constant on the left side is 14. I will subtract 14 from both sides of the equation. Positive 14 minus 14 is zero, so it cancels out and removes it.
2x+14-14 = -21-5x
2x = -35-5x
See how the 14 is now gone? The equation looks much simpler now. Okay next, you can see that there is a coefficient on the “constant side” that I’ve chosen, so I am going to remove that. Negative 5 plus positive 5 equals zero. Do this on both sides of the equation.
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Now the equation is just two numbers. All that is left to do is divide by the last coefficient, 7, in this case.
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1 year ago
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4 years ago
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