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Solnce55 [7]
3 years ago
5

Which ordered pair (x, y) is a solution to given system of linear equations?

Mathematics
2 answers:
Jet001 [13]3 years ago
7 0

Answer: (1,-2)

Step-by-step explanation:

Given : the system of linear equations :-

3x+y=1---------------(1)\\5x+y = 3---------------(2)

In order to find x and y , first we subtract equation (1) from equation (2) , we get

2x=2

Divide both sides by 2 , we get

x=1

Substitute the value of x=1 in equation (1) , we get

3(1)+y=1\\\\3+y=1

Subtract 3 from both sides , we get

y=-2

Hence, the ordered pair (x, y) is a solution to given system of linear equations = (1,-2)

Thus , the correct answer is  (1,-2) .

riadik2000 [5.3K]3 years ago
3 0

Answer:

(1, - 2 )

Step-by-step explanation:

Given the 2 equations

3x + y = 1 → (1)

5x + y = 3 → (2)

Subtracting (1) from (2) term by term eliminates the term in y, that is

(5x - 3x) + (y - y) = (3 - 1) and simplifying

2x = 2 ( divide both sides by 2 )

x = 1

Substitute x = 1 in either of the 2 equations for corresponding value of y

Using (1), then

3 + y = 1 ( subtract 3 from both sides )

y = - 2

Solution is (1, - 2 )

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Step-by-step explanation:

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Woo-Jin and Kiran were asked to find an explicit formula for the sequence 64\,,\,16\,,\,4\,,\,1,...64,16,4,1,...64, comma, 16, c
olya-2409 [2.1K]

Answer:

f(n)=64(\frac{1}{4})^{n-1}

Step-by-step explanation:

The given sequence is

64, 16, 4, 1

r_1=\dfrac{a_2}{a_1}=\dfrac{16}{64}=\dfrac{1}{4}

r_2=\dfrac{a_3}{a_2}=\dfrac{4}{16}=\dfrac{1}{4}

r_3=\dfrac{a_4}{a_3}=\dfrac{1}{4}

It is a geometric series because it has a common ratio r_1=r_2=r_3=\dfrac{1}{4}.

First term is 64.

The explicit formula of a geometric series is

f(n)=ar^{n-1}

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Substitute a=64 and r=1/4 in the above function.

f(n)=64(\frac{1}{4})^{n-1}

Therefore, the required explicit formula is f(n)=64(\frac{1}{4})^{n-1}.

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3 years ago
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Who answers this correctly with explanation gets vevmo'd/pay pal 25<br> Any Links Will Be Reported.
Inga [223]

Answer:

the answer is C

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Step-by-step explanation:

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2 years ago
1. Which point on the axis satisfies the inequality y
grigory [225]

Answer:

1) Point (1,0) -----> see the attached figure N 1

2) The value of x is 4

3) I quadrant

4) (1,1)

5)  y>-5x+3

Step-by-step explanation:

Part 1)

we know that

If the point satisfy the inequality

then

the point must be included in the shaded area

The point (1,0) is included in the shaded area

Part 2)

we have

x-2y\geq 4

see the attached figure N 2

we know that

The value for x on the boundary line and the x axis is equal to the x-intercept of the line x-2y= 4

For y=0

Find the value of x

x-2(0)= 4  

x=4

The solution is x=4

Part 3)

we have

x\geq 0 -----> inequality A

The solution of the inequality A is in the first and fourth quadrant

y\geq 0 -----> inequality B

The solution of the inequality B is in the first and second quadrant

so

the solution of the inequality A and the inequality B is the first quadrant

Part 4) Which ordered pair is a solution of the inequality?

we have

y\geq 4x-5

we know that

If a ordered pair is a solution  of the inequality

then

the ordered pair must be satisfy the inequality

we're going to verify all the cases

<u>case A)</u> point (3,4)

Substitute the value of x and y in the inequality

x=3,y=4

4\geq 4(3)-5

4\geq 7 ------> is not true

therefore

the point (3,4) is not a solution of the inequality

<u>case B)</u> point (2,1)

Substitute the value of x and y in the inequality

x=2,y=1

1\geq 4(2)-5

1\geq 3 ------> is not true

therefore

the point  (2,1) is not a solution of the inequality

<u>case C)</u> point (3,0)

Substitute the value of x and y in the inequality

x=3,y=0

0\geq 4(3)-5

0\geq 7 ------> is not true

therefore

the point  (3,0) is not a solution of the inequality

<u>case D)</u> point (1,1)

Substitute the value of x and y in the inequality

x=1,y=1

1\geq 4(1)-5

1\geq -1 ------> is true

therefore

the point  (1,1) is  a solution of the inequality

Part 5) Write an inequality to match the graph

we know that

The equation of the line has a negative slope

The y-intercept is the point (3,0)

The x-intercept is a positive number

The solution is the shaded area above the dashed line

so

the equation of the line is y=-5x+3

The inequality is  y>-5x+3

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Answer:

5 m/s

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