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Marina86 [1]
3 years ago
10

4y-x=5+2y; 3x+7y=24 solve systen by using substitution

Mathematics
1 answer:
jek_recluse [69]3 years ago
6 0
4y - x = 5 + 2y ..... (1)
3x + 7y = 24    ..... (2)

by grouping like terms in (1)
4y - x = 5 + 2y
4y - 2y - x = 5
<span>-x + 2y = 5 </span>        ..... (1a)

by multiplying (1a) through by -3
(-3)(-x) + 2(-3)y = 5(-3)
3x  -  6y = -15  ..... (1b)

by subtracting 1a from 2
3x -3x + 7y - (-6y) = 24 - (-15)
                      13y = 39
           ⇒            y = 3

by substituting y=3 into (2)
    3x + 7(3) = 24 
              3x = 24 - 21
              3x = 3
        ⇒     x = 1


∴ solution to the system is x=1 when y = 3
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The lenght of a rectangle is 4 meters more than twice the width. Find the greatest possible value for the width if the perimeter
djyliett [7]
2(L + W) < = P
L = 2W + 4
P 38

2(2W+4 + W)  = 38
4W + 8 + 2W = 38
6W + 8 = 38
6W = 38 - 8
6W = 30
W = 30/6 = 5....the greatest possible value is 5



6 0
3 years ago
he mean age of bus drivers in Chicago is greater than 54.4 years. If a hypothesis test is performed, how should you interpret a
Natalka [10]

Answer:

There is not sufficient evidence to support the claim μ > 54.4.

Step-by-step explanation:

1) Previous concepts

A hypothesis is defined as "a speculation or theory based on insufficient evidence that lends itself to further testing and experimentation. With further testing, a hypothesis can usually be proven true or false".  

The null hypothesis is defined as "a hypothesis that says there is no statistical significance between the two variables in the hypothesis. It is the hypothesis that the researcher is trying to disprove".

The alternative hypothesis is "just the inverse, or opposite, of the null hypothesis. It is the hypothesis that researcher is trying to prove".

2) Solution to the problem

On this case we want to test is \mu>54.4 and the system of hypothesi on this case are:

Null Hypothesis: \mu \leq 54.4

Alternative hypothesis:\mu >54.4

On this case is our decision is FAILS to reject the null hypothesis then we can conclude that we don't have enough evidence to support the claim at the significance level provided.  So the correct conclusion would be:

There is not sufficient evidence to support the claim μ > 54.4.

8 0
3 years ago
Laney ordered 12 copies of the same book for his book club members the book cost $19 each in the order has a $15 shipping charge
liubo4ka [24]

Answer:

$408

Step-by-step explanation:

15+19=34

34×12=408

Total cost of order $408

7 0
3 years ago
(4 x 10") + (2 x 10) =
I am Lyosha [343]

Answer:

60

Step-by-step explanation:

40+ 20

60

this is your answer

6 0
3 years ago
Solve equation: 4*4^x-6^x=18*3^2x​
Tamiku [17]

Answer: x-2/x(x-1)

Step-by-step explanation:

What grade are you in this is college stuff.

6 0
2 years ago
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