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Mekhanik [1.2K]
3 years ago
5

6x + 13 = 37 please provide reasoning

Mathematics
2 answers:
sladkih [1.3K]3 years ago
7 0

6x + 13 = 37

6x = 37 - 13

6x = 24

x = 24/6

x = 4

Answer: x = 4

TiliK225 [7]3 years ago
3 0

Answer:

x = 4

Step-by-step explanation:

6x + 13 = 37

(given)

6x + 13 = 37

- 13 - 13

(subtraction property of equality; cancel out the constant term of the left side by subtracting 13 from both sides so 6x is by itself)

6x = 24

÷6 ÷6

(division property of equality; divide both sides by 6 to cancel out the coefficient in 6x in order to solve for x)

x = 4

(this is the solution to the equation)

______________________________

Proof:

Substitute this answer back into the equation in order to verify that the solution forms a true equation.

x = 4 → 6(x) + 13 = 37 → 6(4) + 13 = 37 → 24 + 13 = 37 → <em>37 = 37</em>

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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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(x2,y2) = (-2,1)

First of all we have to find the slope

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Equation of line is given by:

y=mx+b

Putting the value of slope

y = \frac{5}{6}x +b

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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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