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Sergio [31]
4 years ago
12

John’s teacher gave him the following system of equations and asked him to find the point of intersection. 3x + 2 = y 2x – 3= y

Select the ordered pair that represents the intersection of the lines represented by the two equations.
Mathematics
1 answer:
Galina-37 [17]4 years ago
7 0

1) to this case you must match both equations

3x+2 = 2x-3 ⇒3x-2x = -3-2⇒x= -5

now the value of x  substitute it in the any of two equations, y = 3(-5)+2 = -13

and the other equation is the same value

y = 2(-5)-3 = -13

the point is ( -5,-13)

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Answer:

coefficent=5 is the answer

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Refer to the equation 2x − 6y = 12.
Olin [163]

Answer:

66

Step-by-step explanation:

5 0
4 years ago
Solve equation: <br> 8n-7=-12+3n
lutik1710 [3]

To solve this problem, the first thing we have to do is regroup the terms so that we can then subtract, simplify, subtract, and finally simplify again.

But first we must know.

<h3>¿What are the equations?</h3>

Equations are those mathematical equalities divided between two expressions which are called members and separated by their equal sign, in which known elements and unknown or unknown data appear, related by mathematical operations.

<h3>We solve the problem:</h3>
  • 8n - 7 = -12 + 3n
  • 8n - 7 = 3n - 12
  • 8n - 7 - 3n = -12
  • 5n - 7 = -12
  • 5n = -12 + 7
  • 5n = -5
  • N = -1

Now we must check our results.

8n -7 = -12 + 3n

8 × - 1 - 7 = -12 + 3 × - 1

- 8 - 7 = - 12 - 3

- 15 = - 12 - 3

- 15 = - 15

So, our results are correct, the answer is n = - 1

¡Hope this helped!

6 0
1 year ago
Read 2 more answers
Area of Composite Figures
AlekseyPX

Answer:

1) 147

2) 87m^{2}  

Step-by-step explanation:

1) Area of triangle = × base length × height

= \frac{1}{2} × 14 × 10

= 70 m^{2}

Area of a semicircle = \frac{\pi r^{2} }{2} ( r is the radius)

Radius = half of diameter = \frac{14}{2} = 7m

Area of semicircle = \frac{\pi 7^{2} }{2} = \frac{\pi49 }{2}

= 77m^{2} ( Nearest whole number )

Total area = 77 + 70 = 147m^{2}

2) Divide the shape into 2 rectangles

Area of a rectangle = length × width

Rectangle 1 = 7 × ( 3+3+5 )

= 7 × 11 = 77m^{2}

Rectangle 2 = 2 × 5

= 10m^{2}

Total Area = 77 + 10 = 87m^{2}

8 0
3 years ago
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6 0
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