Question

8. Which of the following pair of linear equations is consistent ?
(a) 4x - 5y-12 = 0, 10y + 20 = 8x
(b) x + 2y -4 = 0, 2x + 4y - 12 = 0
8
(c) x + 2y -4 = 0, 3x +6y-12 = 0
(d) 3x – 4y - 1 = 0, 2x - 2y + 5 = 0​

Answer 1

Answer:

(c)

Step-by-step explanation:

3x+6y-12=0

divided by 3 at both side

there for,

x+2y-4=0

...

Answer 2

a) 4x-5y-12=0

4x-5y=0+12

4x-5y=12

x-5y=12/-4

x-5y=-3

x-y=-3/5

x=-3/5

-y=5

10y+20=8x

b) x+2y-4=0

x+2y=0+4

x+2y=4

x+y=4-2

x+y=2

x=2

y=2

2x+4y-12=0

2x+4y=0+12

2x+4y=12

x+4y=12/2

x+4y=6

x=6/4

x=3/2

c) x+2y-4=0

x+2y=0+4

x+2y=4

x+y=4/2

x+y=2

x=2

y=2

3x+6y-12=0

3x+6y=0+12

3x+6y=12

x+6y=12/3

x+6y=4

x+y=4/6

x+y=2/3

x=2/3

y=2/3

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