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Gnesinka [82]
3 years ago
7

Solve the system of equations. 3x – 4y = 8 18x – 5y = 10 x= y =​

Mathematics
1 answer:
Zepler [3.9K]3 years ago
5 0

Answer:

Step-by-step explanation:

Solution by substitution method

3x-4y=8

and 18x-5y=10

Suppose,

3x-4y=8→(1)

and 18x-5y=10→(2)

Taking equation (1), we have

3x-4y=8

⇒3x=4y+8

⇒x=( 4y+8)/ 3  →(3)

Putting x= (4y+8 )/3  in equation (2), we get

18x-5y=10

18( (4y+8) /3)  -5y=10

⇒24y+48-5y=10

⇒19y+48=10

⇒19y=10-48

⇒19y= -38

⇒y=- 38 /19

 ⇒y= -2→(4)

Now, Putting y=-2 in equation (3), we get

x=4y+8

x= (4(-2)+8) /3

 ⇒x= (-8+8)/ 3

 ⇒x= 0/ 3

 

⇒x=0

∴x=0  and  y= -2

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so 900/250 = 3.6

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8 0
3 years ago
suppose the income tax rate is 4% determine the amount of money remaining after paying income tax on an income of $20,000 ​
Romashka [77]

Answer:

$19200

Step-by-step explanation:

20,000*0.96=19200

4 0
3 years ago
Can anyone please work out question 10 in the picture and clearly explain it? Would appreciate it
kotykmax [81]
9945/ 39= 255
If you were to try to divide 99 by thirty five it would not be a whole. You would be able to multiply 39 by 2 to get 78. 99 subtracted by 78 = 21 you would then carry down the 4. to equal 214 you would then figure out 39 multiplied by 5 is the highest number to figure a 195 you would have 19 left over. Carry down your 5 and would have 195. You would have 195 again and then multiply 39 by 5 and it would equal out to 195. Your answer would then be 255.
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3 years ago
Which two values of x are roots of the polynomial below? x2 + 3x - 5
lesya692 [45]

Answer:

Step-by-step explanation:

The roots are the values of x for which x² + 3x - 5 = 0.

Quadratic formula:

x = [-3±√(3²-4(1)(-5))]/(2·1) = [-3±√29]/2

3 0
3 years ago
Solve. x 2 −5x−8=0 x2−5x−8=0 Enter your answers, as exact values, in the boxes. x = or x =
Sidana [21]

Answer:

x2-5x-8=0  

Step-by-step explanation:

Two solutions were found :

x =(5-√57)/2=-1.275

x =(5+√57)/2= 6.275

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "x2"   was replaced by   "x^2".  

Step by step solution :

Step  1  :

Trying to factor by splitting the middle term

1.1     Factoring  x2-5x-8  

The first term is,  x2  its coefficient is  1 .

The middle term is,  -5x  its coefficient is  -5 .

The last term, "the constant", is  -8  

Step-1 : Multiply the coefficient of the first term by the constant   1 • -8 = -8  

Step-2 : Find two factors of  -8  whose sum equals the coefficient of the middle term, which is   -5 .

    -8 + 1 = -7  

    -4+  2 = -2  

    -2+  4 = 2  

    -1 +   8 = 7  

5 0
3 years ago
Read 2 more answers
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