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kvv77 [185]
4 years ago
15

Solve this equation5(-7x-3)- 8x=-230​

Mathematics
1 answer:
Brut [27]4 years ago
5 0

Simplifying

5(7x + -3) = 230

Reorder the terms:

5(-3 + 7x) = 230

(-3 * 5 + 7x * 5) = 230

(-15 + 35x) = 230

Solving

-15 + 35x = 230

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '15' to each side of the equation.

-15 + 15 + 35x = 230 + 15

Combine like terms: -15 + 15 = 0

0 + 35x = 230 + 15

35x = 230 + 15

Combine like terms: 230 + 15 = 245

35x = 245

Divide each side by '35'.

x = 7

Simplifying

x = 7

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If a person invested half of her money at 9% and half at 7% and received $160 interest, find the total amount of money invested.
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Step-by-step explanation:

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lets assume this was for 1 year

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Solve the equation.
lawyer [7]

Answer:

  • x=12
  • x=9

Step-by-step explanation:

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  0.1x +18.8 = -4 +2x

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  12 = x . . . . . . . . . . . . . divide by 1.9

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2) Eliminate parentheses:

  -16 +4x = 0.8x +12.8

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  x = 9 . . . . . . . . . . . . . .divide by 3.2

_____

<em>Comments on the solutions</em>

The expression we add in each case eliminates the constant on one side of the equation and the variable term on the other side. That leaves an equation of the form ...

  variable term = constant

We choose to eliminate the smaller variable term (the one with the coefficient farthest to the left on the number line). Then the constant we eliminate is the on on the other side of the equation. This choice ensures that the remaining variable term has a positive coefficient, tending to reduce errors.

__

You can work these problems by methods that eliminate fractions. Here, the fractions are decimal values, so are not that difficult to deal with. In any event, it is good to be able to work with numbers in any form: fractions, decimals, integers. It can save some steps.

7 0
3 years ago
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