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Thepotemich [5.8K]
3 years ago
11

Solve the system of linear equations by substitution. 2x-y=3 x+5y=14

Mathematics
1 answer:
Arturiano [62]3 years ago
6 0

Answer:

x= 29/11 or y= 25/11

Step-by-step explanation:

2x - y= 3 ...........equation 1

x + 5y= 14 ............equation 2

Make x the subject of the formula in equation 2

x= 14 - 5y ..............equation 3

Substitute x=14 - 5y in equation 1

2(14- 5y) - y=3

28 - 10y - y=3

Collect like terms

-10y - y=3 - 28

-11y= -25

divide both sides by coefficient of y

-11y/-11 = -25/-11

y= 25/11

Substitute y= 25/11 in equation 3

x=14 - 5(25/11)

x= 14 - 125/11

x= 29/11

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4 0
3 years ago
Can someone help me with this question?????????
pishuonlain [190]
Area of the circle can be calculated using the following rule:
area = pi*(radius)^2

For the first circle:
We are given that:
area = 1040.9 square units ....> I

For the second circle:
We are given that:
radius = 27 units
Therefore:
area = pi * (27)^2 = 2290.221044 square units ....> II

For the third circle:
We are given that:
circumference = 87.92 units
Therefore:
circumference = 2*pi*radius = 87.92
radius = 13.99 units
area = pi*(13.99)^2 = 615.12799 square units ...> III

For the fourth circle:
We are given that:
diameter = 19 units
Therefore:
radius = 19/2 = 9.5 units
area = pi*(9.5)^2 = 283.528 square units ....> IV

Based on the above, the order according to increasing area would be:
IV , III , I , II

hope this helps :)
4 0
3 years ago
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tatuchka [14]
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3 0
3 years ago
Help me answer this please
nikitadnepr [17]

Answer:

x=115 y=65

Step-by-step explanation:

You get 115 for X because angle x is vertical to 115 degrees.

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4 0
3 years ago
Read 2 more answers
Without solving determine the character of the solutions of the equation x^2+2x+5=0
Sav [38]
★ QUADRATIC RESOLUTION ★

Roots of the given equation will be imaginary because it's discriminant is less than 0 and hence it'll yield imaginary solutions

D < 0

b² - 4ac < 0

4² - 4 ( 5 ) < 0

16 - 20 < 0

-4 < 0

Hence it's character is stated above

★✩★✩★✩★✩★✩★✩★✩★✩★✩★✩★
8 0
3 years ago
Read 2 more answers
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