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Nikolay [14]
3 years ago
10

Please help ;-; Solve for the simultaneous equation…. 5x+y=17 X+y=3

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

<u>Given Equation</u>:-

  • 5x+y=17 . . . . . . . . 1
  • x+y=3 . . . . . . . . . . 2

<u>To find</u> :

  • value of x
  • value of y

<u>Solution</u> :

<u>Let's start with equation 2</u>:-

x + y = 3

y = 3 - x

Put the value of y in Equation 1

  • 5x+y=17
  • 5x + (3 - x) = 17
  • 5x - x + 3 = 17
  • 4x + 3 = 17
  • 4x = 17 - 3
  • 4x = 14
  • x = 14/4
  • x = 7/2
  • x = <em>3.5</em>

<u>Now Let's find value of y</u><u>:</u>

put the value of x in equation 2:

y = 3 - x

y = 3 - 3.5

y = <em>0.5</em>

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Answer: Angle B measures 70 degrees

Step-by-step explanation: One angle is given as 40 while the other two angles are yet unknown.

Remember that the sum of the interior angles in a triangle equals 180 degrees. In other words

Angle A + Angle B + Angle C = 180

Therefore

40 + (2x - 30) + (x + 20) = 180

40 + 2x - 30 + x + 20 = 180

By collecting like terms we have

40 - 30 + 20 + 2x + x = 180

30 + 3x = 180

Subtract 30 from both sides of the equation

3x = 150

Divide both sides of the equation by 3

x = 50

Having calculated x = 50 we can now compute the value of angle B as follows;

When x = 50,

2x - 30 becomes

2(50) - 30

= 100 - 30

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3 years ago
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Step-by-step explanation:

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4 years ago
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Mumz [18]

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Step-by-step explanation:

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4 years ago
14. Divide the sum of 18/5 and −71/5 by their difference.
Naddik [55]

Answer:

14. -53/89

15. 2 29/30

Step-by-step explanation:

Sum of

18/5+(-71/5)

=18/5-71/5

= 18-71/5

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Difference between 18/5 and -71/5

=18/5-(-71/5)

=18/5+71/5

=18+71 /5

=89/5

Sum divided by difference

-53/5÷89/5

= -53/5×5/89

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31/30+x=4

31/30-4=x

31-120/30=x

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3 years ago
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