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jekas [21]
2 years ago
11

Use the substitution and to rewrite the equations in the system in terms of the variables and . Solve the system in terms of u a

nd v . Then back substitute to determine the solution set to the original system in terms of x and y.
-3/x+4/y=11
1/x-2/y=-5
Mathematics
1 answer:
Tatiana [17]2 years ago
4 0

Answer:

x = -1 and y = 1/2

Step-by-step explanation:

Let u = 1/x, and v = 1/y

Then the pair of equations

-3/x + 4/y = 11

1/x - 2/y = -5

Can be written as

-3u + 4v = 11 .................................(1)

u - 2v = -5......................................(2)

From (2)

u = 2v - 5 .......................................(3)

Substituting (3) into (1)

-3(2v - 5) + 4v = 11

-6v + 15 + 4v = 11

-6v + 4v = 11 - 15

-2v = -4

v = 4/2 = 2

Substituting this value of v in (3)

u = 2v - 5

u = 2(2) - 5

= 4 - 5

= -1

That is

u = -1, v = 2

Since u = 1/x, and v = 1/y, we have

1/x = -1

=> x = -1

And

1/y = 2

=> y = 1/2

Therefore

x = -1 and y = 1/2

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Need help if anything can show me how to do it in steps !
Elanso [62]

Answer:

x=59/5 or x=11.8 depends on which one you want to do both are true

Step-by-step explanation:

Start with what you are given

angle 4= 5x+6 and angle 3=65 because lines m and n are both parallel angle4=angle3 in other words 5x+6=65

what you want to do is get x by itself.

1. Subtract 6 from both sides

5x+6-6=65-6

5x=59

2. Divide both sides by 5

5x/5=59/5

x=59/5

3. Check to see if you can simplify the fraction and if you teacher wants it in decimals or exact fraction.

x=59/5 or x=11.8 they are the same just ones a decimal the other is left as a fraction

6 0
3 years ago
Use the discriminant to describe the roots of each equation. then select the best description. x^2 - 4x + 4 = 0
Vaselesa [24]
B is the answer to the question
3 0
3 years ago
A study was done that looked at how much red meat people consumed and how long they lived. The correlation r was found to be 0.9
AVprozaik [17]

Answer:

False

Step-by-step explanation:

Since the correlation r was found to be 0.98 (a value closer to 1).  

Let X =how much red meat people consumed

let Y = how long they lived.

where the x-values are the values of the deviations of co-ordinates X from Xₙ, their mean value and the y-values are the values of the deviations of co-ordinates Y from Yₙ, their mean value.

That is, x=(X−Xₙ) and y=(Y−Yₙ).

The results of this determination give values of r lying between +1 and −1, where;

+1 indicates perfect direct  correlation,

−1 indicates perfect inverse correlation and

0 indicates that no correlation exists.

Between these values, the smaller the value of r, the less is the amount of correlation which exists.

Generally, values of r in the ranges 0.7 to 1 and −0.7 to −1 show that a fair amount of correlation exists.

therefore, it can be seen that there is a perfect relationship between the quantity eaten and how long the person live

But, the correlation does not consider those that does not consume meat, and it is very hard to determined the answer to the question.

the answer is false because there are other reasons that determined longevity of life apart from meat consumption.

3 0
3 years ago
2 5/8 ×3 1/7<br> What's the answer for this ?
nikdorinn [45]

Answer:

8 \frac{1}{4}

Step-by-step explanation:

Let us solve

2 \frac{5}{8}  \times 3 \frac{1}{7}  \\  \frac{21}{8}  \times  \frac{22}{7}  \\  \frac{462}{56}  \\  \frac{462 \div 2}{56 \div 2}  \\  \frac{231}{28}  \\  \frac{231 \div 7}{28 \div 7}  \\  \frac{33}{4}  \\ 8 \frac{1}{4}

<em>hope</em><em> </em><em>this</em><em> </em><em>helps</em><em> </em><em>you</em><em>.</em>

<em>Please</em><em> </em><em>let</em><em> </em><em>me</em><em> </em><em>know</em><em> </em><em>if</em><em> </em><em>you</em><em> </em><em>have</em><em> </em><em>another</em><em> </em><em>questions</em><em> </em><em>:-)</em>

5 0
2 years ago
Read 2 more answers
If x does not equal 16 then 2x+10 does not equal 42​
Lady bird [3.3K]

Answer:

The answer is

True

5 0
3 years ago
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