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nexus9112 [7]
3 years ago
7

Cindy claims that if there is a variable is in the denominator, the equation three over x plus one over three equals five over s

ix becomes unsolvable. Cindy explains, "There is a value for x that makes the denominator zero, and you can't divide by zero." Demonstrate to Cindy how the equation is still solvable and show all work for full credit.
Mathematics
1 answer:
Tom [10]3 years ago
3 0

x = 6

given \frac{3}{x} + \frac{1}{3} = \frac{5}{6}

to eliminate the fractions multiply through by the lowest common multiple of x, 3 and 6 , that is 6x

multiply all terms by 6x gives

18 + 2x = 5x ( subtract 2x from both sides )

18 = 3x ( divide both sides by 3 )

6 = x

As a check

\frac{3}{6} + \frac{1}{3} = \frac{3}{6} + \frac{2}{6} = \frac{5}{6}


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y = \frac{4}{3} x + 17  

Step-by-step explanation:

The table shows a set of x and y values, thus showing a set of points we can use to find the equation.

1) First, find the slope by using two points and substituting their x and y values into the slope formula, \frac{y_2-y_1}{x_2-x_1}. I chose (-3, 13) and (0,17), but any two points from the table will work. Use them for the formula like so:

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