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soldier1979 [14.2K]
3 years ago
10

Given this system of equations, which method would you use to solve? Y=x+5 / 3x-2y=10

Mathematics
1 answer:
vazorg [7]3 years ago
4 0

Answer:

x = 20

y= 25

Step-by-step explanation:

to evaluate this system of equation using substitution method , we would say that let

Y=x+5 ............................................................equation 1

3x-2y=10........................................................ equation 2

substitute for eqution 1 into equation 2

3x - 2y = 10

3x -2(x + 5) = 10

3x -2x -10 = 10

collect the like terms

3x - 2x = 10 + 10

x = 20

put the value of x = 20 into equation  1

Y=x+5 ............................................................equation 1

y = 20 + 5

y = 25

therefore the value of x and  y  are 20 and 25 respectively

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3 years ago
Answer this please it’s for algebra 2
Sergeu [11.5K]

Part a)

P(junior) = (number of juniors)/(number total)

P(junior) = 235/705

P(junior) = 1/3 exactly

P(junior) = 0.33333 approximately

======================================

Part b)

P(freshman and LG) = (number of freshman who have LG)/(number total)

P(freshman and LG) = 70/705

P(freshman and LG) = 14/141 exactly

P(freshman and LG) = 0.09929 approximately

======================================

Part c)

n(junior) = number of juniors = 235

n(samsung) = number of people who have samsung = 274

n(junior and samsung) = number of juniors who have samsung = 93

----

n(junior or samsung) = n(junior)+n(samsung)-n(junior and samsung)

n(junior or samsung) = 235+274-93

n(junior or samsung) = 416

----

P(junior or samsung) = n(junior or samsung)/n(total)

P(junior or samsung) = 416/705 exactly

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======================================

Part d)

n(sophomore and apple) = number of sophomores who have apple

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n(apple) = number of students who have apple

n(apple) = 261

P(sophomore | apple) = n(sophomore and apple)/n(apple)

P(sophomore | apple) = 80/261 exactly

P(sophomore | apple) = 0.30651 approximately

======================================

Part e)

define the events

A = junior who has apple

B = junior who has samsung

C = person is a junior

n(A or B) = number of juniors who have apple or samsung

n(A or B) = n(A) + n(B) ... A and B assumed mutually exclusive

n(A or B) = 87+93

n(A or B) = 180

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P( (Apple or Samsung) | Junior ) = n(A or B)/n(C)

P( (Apple or Samsung) | Junior ) = 180/235

P( (Apple or Samsung) | Junior ) = 36/47 exactly

P( (Apple or Samsung) | Junior ) = 0.76596 approximately

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3 years ago
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