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agasfer [191]
3 years ago
5

Solve for x: x + 3x - 19 = 17

Mathematics
1 answer:
Natasha_Volkova [10]3 years ago
7 0
<h2><u>Answer:</u></h2><h2><u></u>\boxed{\boxed{\sf{x=9}}}<u></u></h2><h2><u></u></h2><h2><u>Solution Steps:</u></h2>

______________________________

<h3>1.) Combine x and 3x:</h3>
  • x+3x=4x

<em>  - We combine the </em>(x)<em> variables because to get to the end sum of the equation, there can only be 1 variable. So to get the 1, you combine like terms. </em>

<em />

<h3>2.) Add 19 to both sides:</h3>
  • -19+19= Cancels Out
  • <em></em>17+19=36<em></em>

<em>  - We do this to get 1 number left over. To do this you do the opposite of what you see. In this case we have a negative 19, so you add 19 on each side of the equals. </em>

<em />

<h3>3.) Divide both sides by 4:</h3>
  • 4x ÷ 4=x
  • 36 ÷ 4=9

<em>  - We do this to get x alone. To do this you do the opposite of what you see. In this case we have </em>4(x)<em> which is multiplying, so you divide by 4 on each side. </em>

<em />

So your answer is \bold{x=9}.

______________________________

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=========================
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Given that a bank loaned out $ 28,500, part of it at the rate of 14% annual interest, and the rest at 4% annual interest, and the total interest earned for both loans was $ 2,640.00, to determine how much was loaned at each rate you must perform the following calculations:

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