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zheka24 [161]
3 years ago
10

Solve the system of linear equations by elimination. 9x−2y=34 5x+2y=−6

Mathematics
2 answers:
adoni [48]3 years ago
6 0
The answer is x=2 and y=-8
slava [35]3 years ago
4 0

Answer:

x = 2

y = -8

Step-by-step explanation:

9x−2y=34 -------------------(I)

5x+2y=−6 -------------------(II)

Add equation (I) & (II) and so y will be eliminated and we could find the value of x.

(I)      9x -  2y = 34

(II)     <u>5x  + 2y = -6</u>   {add}

       14x         =   28

                 x = 28/14

x = 2

Plug in x = 2 in equation (I)

9*2 - 2y = 34

18 - 2y = 34

     -2y = 34 - 18

    -2y = 16

        y = 16/-2

        y = -8

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5x -2y=18 what does x and y equal?
Ilia_Sergeevich [38]

Answer:

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Step-by-step explanation:

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6 0
3 years ago
At the start of the week a bookshop had science and art books in the ratio 2:5. By the end of the week, 20% of each type of book
Anastaziya [24]
Let there be 2x science and 5x art books 
<span>science books sold = 2x × 0.2 = 0.4x </span>
<span>science books unsold = 2x – 0.4x = 1.6x </span>

<span>art books sold = 5x × 0.2 = x </span>
<span>art books unsold = 5x – x = 4x </span>

<span>total books unsold = 1.6x + 4x = 5.6x </span>
<span>5.6x = 2240 </span>
<span>x = 400 </span>

<span>2x science = 800 </span>
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5 0
4 years ago
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3 0
3 years ago
Read 2 more answers
Which of the following sets of lengths can Sean use to make a right triangle?
Aleks [24]

Answer:

{8 cm, 15 cm, 17 cm}

Step-by-step explanation:

we know that

The length sides of a right triangle must satisfy the Pythagoras Theorem

so

c^2=a^2+b^2

where

c is the greater side (the hypotenuse)

a and b are the legs (perpendicular sides)

<u><em>Verify each case</em></u>

case 1) we have

{5 cm, 15 cm, 18 cm}

substitute in the formula

18^2=5^2+15^2

324=250 ----> is not true

therefore

Sean cannot make a right triangle with this set of lengths

case 2) we have

{6 cm, 12 cm, 16 cm}

substitute in the formula

16^2=8^2+12^2

256=208 ----> is not true

therefore

Sean cannot make a right triangle with this set of lengths

case 3) we have

{5 cm, 13 cm, 15 cm}

substitute in the formula

15^2=5^2+13^2

225=194 ----> is not true

therefore

Sean cannot make a right triangle with this set of lengths

case 4) we have

{8 cm, 15 cm, 17 cm}

substitute in the formula

17^2=8^2+15^2

289=289 ----> is true

therefore

Sean can make a right triangle with this set of lengths

6 0
3 years ago
Which of the following expressions have a quotient of −17?
beks73 [17]

Answer:

C = -6

Step-by-step explanation:

1 +-7 =-6:::::::::::::::::::

5 0
3 years ago
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