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Studentka2010 [4]
3 years ago
14

2x-5y=3 4y-x=-3 solve by elimination

Mathematics
1 answer:
loris [4]3 years ago
4 0

Answer:

x = -1 and y = -1

Step-by-step explanation:

to solve this equation we say

let

2x-5y=3.......................................... equation 1

4y-x=-3............................................equation 2

from equation 2

4y-x=-3............................................equation 2

4y + 3 = x

i.e

x = 4y + 3 .............................................  equation 3

put x = 4y + 3 in equation 1

2(4y +3) - 5y = 3

8y + 6 -5y = 3

3y +6 = 3

3y= 3-6

3y -3

divide both sides by the coefficient  of y  which is 3

3y/3 = -3/3

y = -1

put y = -1 into equation 3

x = 4y + 3 .............................................  equation 3

x = 4(-1) + 3

x = -4 + 3

x = -1

therefore the value of x = -1 and y = -1 respectively

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If two different integers between 1 and 100 inclusive are chosen at random, what is the probability that the difference of the t
nikitadnepr [17]

Answer: 17 / 990

Step-by-step explanation:

To obtain the probability of the question above :

Find the count of number pairs whose difference gives is 15 in the range (1 to 100).

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Step-by-step explanation:

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Please help with 11c!?
Contact [7]

Answer:

"To the nearest year, it would be about 9 years"

Step-by-step explanation:

11c)

This is compound growth problem. It goes by the formula:

F=P(1+r)^t

Where

F is the future amount

P is the present (initial) amount

r is the rate of growth, in decimal

t is the time in years

Given,

P = 20,000

r = 8% = 8/100 = 0.08

F = double of initial amount = 2 * 20,000 = 40,000

We need to find t:

F=P(1+r)^t\\40,000=20,000(1+0.08)^t\\2=(1.08)^t

To solve exponentials, we can take Natural Log (Ln) of both sides:

2=(1.08)^t\\Ln(2)=Ln((1.08)^t)

Using the rule shown below we can simplify and solve:

Ln(a^b)=bLn(a)

We can write:

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To the nearest year, that would be about 9 years

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