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kodGreya [7K]
3 years ago
13

Identify the value for the variable. What is the value of x in this simplified expression? 7-9 · 7-3 = 7x

Mathematics
2 answers:
Arada [10]3 years ago
7 0
Using PEMDAS: 
7 - 9 x 7 - 3 = 7x
7 - 63 - 3 = 7x
-59 = 7x 
/7      /7
-8.43 = x 
Varvara68 [4.7K]3 years ago
4 0
Solve for x:
-59 = 7 x

-59 = 7 x is equivalent to 7 x = -59:
7 x = -59

Divide both sides of 7 x = -59 by 7:
(7 x)/7 = (-59)/7
7/7 = 1:
Answer:  x = (-59)/7
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X=37

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Smallest of 3 consecutive positive intergers if the product of the smaller two intergers is 5 less than 5 times the largest inte
amm1812

What a delightful little problem ! (Partly because I could see
right away how to do it, and had the answer in a few minutes,
after a lot of impressive-looking algebra on my scratch-paper.)

Three consecutive integers are . . . x,  x+1,  and  x+2

The smallest two are . . . x  and  x+1
    Their product is . . . . . x(x+1)

5 times the largest one is . . . 5(x+2)
      5 less than that is . . . . . . 5(x+2)-5

Now, the conditions of the problem say that    <u>x (x + 1) = 5 (x+2) - 5</u>
THAT's the equation we have to solve, to find 'x' .

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            Combine like terms:    x² + x = 5x + 5
Subtract 5x from each side:    x² - 4x = 5
Subtract  5  from each side:   <u>x² - 4x - 5 = 0</u>

You could solve that by factoring it, or use the quadratic equation.

Factored, it says that    (x + 1) (x - 5) = 0

From which       <em>x = -1</em>
             and      <em>x = +5</em>

We only want the positive results, so our three consecutive integers are

             5,  6,  and  7 .   

To answer the question, the smallest one is    <em><u>5 </u></em>.

<u>Check</u>:

   5 x 6  ? = ?  (7 x 5) - 5

       30  ? = ?  (35) - 5

         30   =   30

             yay !   


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