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s2008m [1.1K]
3 years ago
11

Which of the following equations has an infinite number of solutions?

Mathematics
1 answer:
RSB [31]3 years ago
6 0
The answer is C

Simplify both sides of the equation and combine like terms.
You’re left with 7x+5 = 7x+5
Subtract 7x on both sides
Leaves you with
5=5
Subtract 5 on both sides
0=0
Infinite number of solutions.
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Write an equation that represents the line. Use exact numbers
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The equation that represents the line is:

y = \frac{5}{6}x+\frac{8}{3}

Step-by-step explanation:

We have to observe the graph to find the points on line

So the points on line are:

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First of all we have to find the slope

m = \frac{y_2-y_1}{x_2-x_1}\\= \frac{1-6}{-2-4}\\=\frac{-5}{-6}\\=\frac{5}{6}

Equation of line is given by:

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Putting (4,6) in the equation

6 = \frac{5}{6}(4)+b\\6 = \frac{20}{6} +b\\b = 6 - \frac[20}{6}\\b = \frac{36-20}{6}\\b = \frac{16}{6}\\b = \frac{8}{3}

Putting the value of b

y = \frac{5}{6}x+\frac{8}{3}

Hence,

The equation that represents the line is:

y = \frac{5}{6}x+\frac{8}{3}

Keywords: Equation of line, slope

Learn more about equation of line at:

  • brainly.com/question/537230
  • brainly.com/question/5345266

#LearnwithBrainly

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Step-by-step explanation:

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