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Reika [66]
3 years ago
5

PLEASE HELP!!!! about solving systems!!! 30 points!!!

Mathematics
1 answer:
e-lub [12.9K]3 years ago
6 0

Answer:

Step-by-step explanation:

<h2>d ) 13x−8y=28 11x−8y=24 </h2>

we can solve:

13x−8y=28

11x−8y=24

.............................(subtract side by side)

13x - 11 x + (-8y) - (-8y) = 28 - 24

2x + 0 = 4

x = 4/2 = 2 (divide both sides by 2),

then you replace x = 2 into 13x - 8y = 28, we have 26 - 8y = 28

or -8y = 28-26, or -8y = 2, then y = 2/ -8= -1/4

Solution x =2, y = - 1/4

b) 5x−2y=1 15x−3y=−3

5x−2y=1 (multiple bothe sides by 3)

15x−3y=−3

we have

15x−6y=3

15x−3y=−3

..................(  subtract side by side)

0 -3y = 6

y = 6/-3

y = -2

then you replace y =- 2 into 5x - 2y = 1, we have 5x + 4 = 1

or 5x = 1-4 or 5x = -3, then x = -3/5

Solution: x = -3/5, y = -2

c) 13x−12y=14 11x−4=18y

we have:

13x−12y=14

11x−4=18y

then:

13x−12y=14 ( multiple bothe sides by 6)

11x - 18y = 4   (multiple bothe sides by 4)

then

78x−72y=84

44x−72y= 16

...........................( subtract side by side)

34x = 68

or x = 68/34 = 2

then you replace x = 2 into 11x -4 = 18y , we have 22 -4 = 18y

or 18y = 18 or y = 18/18 = 1

Solution: x = 2 , y = 1

a) 12x−7y=2 4x−5y=6

we have

12x−7y=2

4x−5y=6  (multiple bothe sides by 3)

so

12x−7y=2

12x−15y=18

-------------------------(subtract side by side)

8y = -16

or y = -16/8 = -2

then you replace y = -2 into 4x -5y = 6 , we have 4x + 10 = 6

or 4x = 6 - 10 or 4x = - 4 and x = -4/4 = - 1

Solution: x = - 1 , y = - 2

b) 7u+2v=1 17u+6v=−9

7u+2v=1   (multiple bothe sides by 3)

17u+6v=−9

so

21u+6v=3  

17u+6v=−9

------------------(subtract side by side)

4u = 12

or u = 12/4 = 3

then you replace u = 3 into 7u +2v = 1 , we have 21 + 2v = 1

or 2v = 1 - 21 or 2v = - 20 and v = -20/2 = - 10

Solution: u = 3, v = - 10

<h2>c) 6x=25y+1 5x−16y=−4</h2>

6x=25y+1  (multiple bothe sides by 5)

5x−16y=−4  (multiple bothe sides by 6)

we have

30x=125y+5

30x = 96y−24

-------------------------(subtract side by side)

0 = 29y + 29

or 29y = - 29

then y = - 29/29 = -1

then you replace y = -1 into 6x = 25y + 1 , we have 6x = - 25 + 1

or 6x = - 24 or x = -24/6 = - 4

Solution: x= -4, y = - 1

Have a good day!

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