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3m + 1 = 10

this is a ixl question and i need the answer it’s inequalities and equations 7 grade

2 Answers

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3m+1=10
so you’d do -1 on both sides so. 1-1 and 10-1
then it’d be 3m=10
you want the variable (m) by its self. so you’d divide 3 by both sides.
so 3 divided by 3 and 10/3
so it’d be m=10 over 3 (fraction ten on top 3 on bottom) or m=3.3(the three after the decimal is repeated)
User Peter Wishart
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4 votes

9514 1404 393

Answer:

m = 3

Explanation:

Notice what has been done to the variable. It has been multiplied by 3, then 1 is added to the product.

We solve an equation like this by undoing those operations, in the reverse order. First, we undo the addition of +1 by adding -1 (the opposite of +1) to both sides of the equation.

3m + 1 - 1 = 10 - 1

3m = 9 . . . . . . . . . simplify

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Now, we undo the multiplication by 3 by multiplying by the "multiplicative inverse" or reciprocal, 1/3. This is the same as dividing by 3.

(1/3)(3m) = (1/3)(9)

As before, we do this to both sides of the equation.

m = 3 . . . . . . . . . simplify

The solution is m = 3.

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The rule for equations is that you must do the same operation to both sides of the equation in order for it to remain valid. (The same is true for inequalities, with a special rule for multiplication or division by a negative number. Doing that reverses the comparison symbol: < ⇔ > or ≤ ⇔ ≥.)

User Simon Hi
by
5.8k points
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