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Tresset [83]
3 years ago
14

Which equation does the graph of the systems of equations solve?

Mathematics
1 answer:
Viktor [21]3 years ago
4 0

Answer:

We conclude that option 'C' i.e. 1/3x+1=2x-4 is the correct option.

Step-by-step explanation:

From the given graph, it is clear that the two lines meet at the point (3, 2).

In other words,

  • at x =3, y = 2

Thus,

The point of intersection between two lines is:

(x, y) = (3, 2)

Here:

x = 3 is the value of the x-coordinate

y = 2 is the value of the y-coordinate

Now, checking the equation i.e. 1/3x+1=2x-4 to determine whether the equation contains the correct value of x-coordinate or not.

\frac{1}{3}x+1=2x-4

Subtract 1 from both sides

\frac{1}{3}x+1-1=2x-4-1

Simplify

\frac{1}{3}x=2x-5

subtract 2x from both sides

\frac{1}{3}x-2x=2x-5-2x

Simplify

-\frac{5}{3}x=-5

Multiply both sides by 5

3\left(-\frac{5}{3}x\right)=3\left(-5\right)

Simplify

-5x=-15

Divide both sides by -5

\frac{-5x}{-5}=\frac{-15}{-5}

Simplify

x=3

Therefore, the value of x = 3

Conclusion:

We conclude that option 'C' i.e. 1/3x+1=2x-4 is the correct option.

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Beth made wristbands and belts for a craft sale. She sold 30 of these items. Each wristband sold for $5.50. Each belt sold at $8
baherus [9]

<u>✿</u><u>Answer:</u>

  • Both sold 18 wristbands and 12 belts

✂----------------------

Let, number of wristbands = x

number of belts = y

x+y=30  ➞ x~5.5

5.50x+8.75y=204 x1

5.50x+5.5y=165\\5.5x+8.75y=204\\---------\\-3.25y=-39

y=-39/3.25

y=12

x=30-12=18

So, Both~ sold ~18 ~wristbands ~and ~12~ belts.

❄❄❄❄❄❄

<h3>hope it helps...</h3><h3>have a great day!!</h3>
5 0
2 years ago
Which option for college funding can parents start when children are still very young? College savings account scholarship work-
kap26 [50]

Answer:

Your answer would be A: "college savings account."

Step-by-step explanation:

Got it right on edge.

6 0
3 years ago
Read 2 more answers
Mr. Nice's backyard has an area of 225 square feet. What is the length of one side of his backyard?
Fittoniya [83]
  • Answer:

<em>C. 15 feet</em>

  • Step-by-step explanation:

<em>Area formula</em>

<em>A = l²</em>

<em>225 = l²</em>

<em>l = √225</em>

<em>l = √15²</em>

<em>l = 15 feet</em>

7 0
3 years ago
what is the equation in point-slope form of the line that passes through the point ( -1,,-4) has a slop of a -3​
Vesnalui [34]
The answer has to resemble y=Mx+b so to find your y intercept plug in your coordinates into that equation so put your slope in for m and your x intercept in for x and the y intercept in for y so -4= -3(-1)+b now get b alone -1=b so your equation would be y=-3x-1
6 0
3 years ago
(07.02)
maw [93]

Answer:

3x

Step-by-step explanation:

Its 3x because if you dont know the amount of months which is x and she buys 3 songs every month it equals 3x

5 0
2 years ago
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