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Vikentia [17]
3 years ago
15

Solve the system of equations and choose the correct ordered pair. 5x+2y= 19 4x - 3y - 6 A (3,5) B. (5-3) C. (5,3) D. (3,2)​

Mathematics
2 answers:
vagabundo [1.1K]3 years ago
4 0

Answer:

(3,2)

Step-by-step explanation:

5x+2y= 19

4x - 3y = 6

I will use elimination

Multiply the first equation by 4

20x +8y = 76

Multiply the second equation by -5

-20x +15y = -30

Add them together to eliminate x

20x +8y = 76

-20x +15y = -30

---------------------------

       23y = 46

Divide by 23

23y/23 = 46/23

y =2

Now find x

5x+2y =19

Substitute y=2

5x+2(2) =19

5x+4 = 19

Subtract 4 from each side

5x +4-4 =19-4

5x= 15

Divide by 5

5x/5 = 15/5

x=3

The solution is

(3,2)

maria [59]3 years ago
4 0

Answer:

D. (3,2)

Step-by-step explanation:

Firstly, eliminate a variable:  

3(5x+2y = 19 )  

2(4x-3y = 6)

Now, plug this value back into one of the equations to get y:  

5(3)+2y = 19  

15+2y = 19  

-15         -15  

2y = 4  

/2     /2  

y = 2

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The numbers are - 210 , 310, 320, 321, 410, 420, 421, 430, 431, 432, 543, 542, 541, 540, 532, 531, 530, 521, 520, 510  

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To find the number between 100 and 599 that have their digit in decreasing order, we can use combination method. The first digit cannot be 1, because there are no descending options for the following digits.

If the first digit is 2, then the only possibility is 210.

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