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attashe74 [19]
3 years ago
7

Find the solution of this system of linear

Mathematics
1 answer:
Dmitry_Shevchenko [17]3 years ago
8 0

Answer:

The solution is (1, -4)

Step-by-step explanation:

Given:

The pair of linear equations given are:

-20x = -88 - 17y---1\\7x = -61 - 17y---2

Subtracting equation (1) from equation (2), we get:

7x-(-20x)=-61-17y-(-88-17y)\\7x+20x=-61-17y+88+17y\\27x=(-61+88)+(17y-17y)\\27x=27+0\\27x=27\\x=\frac{27}{27}=1

Now, plug in the value of 'x' in equation (1) and solve for 'y'. This gives,

-20(1)=-88-17y\\-20=-88-17y\\17y=-88+20\\17y=-68\\y=\frac{-68}{17}=-4

Therefore, the solution is (1, -4)

You might be interested in
A fence is to be built to enclose a rectangular area of 240 square feet. The fence along three sides is to be made of material t
aniked [119]

Answer:

18.97 \text{ and }12.65\text{ft}

Step-by-step explanation:

GIVEN: A fence is to be built to enclose a rectangular area of 240 square feet. The fence along three sides is to be made of material that costs 6 dollars per foot, and the material for the fourth side costs 12 dollars per foot.

TO FIND: Find the dimensions of the enclosure that is most economical to construct.

SOLUTION:

Area of rectangular fence =240\text{ sq. ft}

let the length of fence =x

let the width of fence =y

let x be the smaller side

Area of rectangular fence enclosure =xy

xy=240

y=\frac{240}{x}

cost of fence along three sides =6 \text{ dollars per feet}

cost of fence along fourth side =12 \text{ dollars per feet}

length of fence =2x+2y

cost of fence building =6(2x+y)+12y

                                     =12x+18y

putting value of y

                                     =12x+18\times\frac{240}{x}

                                     =12x+4320x^{-1}

to find minimum value differentiating the equation

                                   12-\frac{4320}{x^{2} }=0

                                   x^{2} =\frac{4320}{12}

                                   x^{2} =360

                                   x=18.97\text{ft}

                                   y=12.65\text{ft}

Hence the dimensions of the enclosure that is most economical to construct are 18.97\text{ft} and 12.65\text{ft}

8 0
3 years ago
A rectangular box has a height of 10 cm. If the width is 1.5 times the height and the depth is the length of the width, what is
Ludmilka [50]
Surface area = 2 * ( height*width  +    height * length   +   width * length )
5 0
3 years ago
Read 2 more answers
Which strategy best explains how to solve this problem? Apples cost $1.25 per pound. Oranges cost $1.49 per pound. Krystal wants
ValentinkaMS [17]
The best strategy is to use the tables in this example. The tables will give an exact cost for an exact number of apples or oranges. You can then use these pieces of information to determine which number of apples and oranges will get you closest to $10.

The diagram strategy is not accurate based on the information.

The double bar graph is also not going to work because the two pieces of information are related, so you would not create a separate bar for the price and the number of apples.
6 0
3 years ago
At Niagra High, Mr. Borton bought 4 student tickets and 2 adult tickets for the high school musical which cost $64. then Mrs. Ge
balandron [24]

Answer:

Each student ticket costs $8.33

Each adult ticket costs $15.34

Step-by-step explanation:

At Niagra High, Mr. Borton bought 4 student tickets and 2 adult tickets for the high school musical which cost $64. then Mrs. Gelvoria bought 3 student tickets and 3 adult tickets for the show and it cost her $72. How much are each type of tickets?​

s = cost of each student ticket

a = cost of adult ticket

Our system of equations:

4s + 2a = 64

3s + 3a = 71

-3(4s + 2a = 64) ==> -12s - 6a = -192

2(3s + 3a = 71) ==>     6s + 6a = 142

-12s - 6a = -192

  6s + 6a = 142

-6s = -50

/-6      /-6

s = $8.33 (the cost of each student ticket)

Now, let's find the cost of each adult ticket:

4s + 2a = 64

4(8.33) + 2a = 64

33.32 + 2a = 64

-33.32         -33.32

2a = 30.68

/2        /2

a = 15.34 (the cost of each adult ticket)

(x, y) ==> (8.33, 15.34)

Check your answer:

4s + 2a = 64

4(8.33) + 2(15.34) = 64

33.32 + 30.68 = 64

64 = 64

This statement is true

Hope this helps!

8 0
2 years ago
plz explain why!<br> Will be marked BRAINLIEST
wlad13 [49]

ANSWER

Eva is correct because 13/2 + 3/2 = 8

There is no mistake. Dakota may have thought that there was a mistake because Eva simplified when she got the answer for 4x which is correct but Dakota may have thought that it was incorrect.

6 0
3 years ago
Read 2 more answers
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