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Alchen [17]
3 years ago
15

1. How do you find the solution of the system of equations ? Find x and y.

Mathematics
2 answers:
Westkost [7]3 years ago
7 0
<h3>✽ - - - - - - - - - - - - - - - ~Hello There!~ - - - - - - - - - - - - - - - ✽</h3>

➷ Use the simultaneous equations method:

x - 4y = 6

3x + 4y = 10

Add these two equations together to cancel out 'y':

4x = 16

Divide both sides by 4:

x = 4

substitute this value into one of the equations:

(4) - 4y = 6

Subtract 4 from both sides:

- 4y = 2

Divide both sides by -4:

y = -0.5

<h3><u>✽</u></h3>

➶ Hope This Helps You!

➶ Good Luck (:

➶ Have A Great Day ^-^

↬ <u>ʜᴀɴɴᴀʜ</u> ♡

zalisa [80]3 years ago
5 0

Answer:

x = 4, y =1/2 is the solution of system of equations.

Step-by-step explanation:

We have given   the system of equations :

x - 4y = 6             (eq 1)

3x + 4y = 10         (eq 2)

We have to solve the system of equations.

Find the value of x from (eq 1)   we get,

x = 6+4y     (eq 3)

Put in eq 2 we get,

3(6+4y) + 4y = 10

18+12y +4y = 10

18 +16y = 10

16y =10-18

16y = -8

y = -1/2

Put y =-1/2 in  (eq 3) we get,

x = 6+4(-1/2)

x = 6 -2= 4.

x = 4, y =1/2 is the solution of system of equations.

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eduard

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Answer:

  5.  x = 160; y = 20

  6.  h = 125°; g = i = 55°

Step-by-step explanation:

Vertical angles are found on opposite sides of a point where lines cross. Each angle is formed from rays opposite those of the other angle. Vertical angles are congruent.

5. x° and 160° are vertical angles: x° = 160°

  y° and 20° are vertical angles: y° = 20°

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6. h° and 125° are vertical angles: h° = 125°

The angles g° and 125° form a "linear pair" so total 180°.

  g° = 180° -125° = 55°

  g° and i° are vertical angles: g° = i° = 55°

4 0
2 years ago
The University of Montana ski team has thirteen entrants in a men's downhill ski event. The coach would like the first, second,
sleet_krkn [62]

Answer:

1716 ways

Step-by-step explanation:

Given that :

Number of entrants = 13

The number of ways of attaining first, second and third position :

The number of ways of attaining first ; only 1 person can be first ;

Using permutation :

nPr = n! ÷(n-r)!

13P1 = 13! ÷ 12! = 13

Second position :

We have 12 entrants left :

nPr = n! ÷(n-r)!

12P1 = 12! ÷ 11! = 12

Third position :

We have 11 entrants left :

nPr = n! ÷(n-r)!

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Hence, Number of ways = (13 * 12 * 11) = 1716 ways

8 0
2 years ago
What’s the degree 2xy5
frutty [35]

Answer:

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Step-by-step explanation:

The degree of the term

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is the sum of the exponents of the variables, so is 1+5 = 6.

The degree of the term is 6.

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3 years ago
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Answer:

A i think

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
A toy manufacturer wants to know how many new toys children buy each year. A sample of 1492 children was taken to study their pu
julia-pushkina [17]

By assuming the standard deviation of population 2.2 the confidence interval is 8.67 toys,8.94 toys.

Given sample size of 1492 children,99% confidence interval , sample mean of 8.8, population standard deviation=2.2.

This type of problems can be solved through z test and in z test we have to first find the z score and then p value from normal distribution table.

First we have to find the value of α which can be calculated as  under:

α=(1-0.99)/2=0.005

p=1-0.005=0.995

corresponding z value will be 2.575 for p=0.995 .

Margin of error=z*x/d

where x is mean and d is standard deviation.

M=2.575*2.2/\sqrt{1492}

=0.14

So the lower value will be x-M

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=8.66

=8.67 ( after rounding)

The upper value will be x+M

=8.8+0.14

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Hence the confidence interval will be 8.67 toys and 8.94 toys.

Learn more about z test at brainly.com/question/14453510

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8 0
1 year ago
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