Question

the linear equation 3x+4y=7 has ........solution.

Answer 1

Answer: (7/3 , 0) , (1 , 1) , (-1/3 , 2)

Step-by-step explanation:

given: 3x+4y=7

from this we derive: x= (7-4y)/3

Finding solutions:

when y=0

x=(7-4(0))/3

x=7/3

Solution: (7/3 , 0)

when y=1

x=(7-4(1))/3

x=3/3

x=1

Solution: (1 , 1)

when y=2

x=(7-4(2))/3

x= -1/3

Solution: (-1/3 , 2)

Final Solution: (7/3 , 0) , (1,1) , (-1/3 , 2)

Hope it helps :)

Answer 2

A linear equation 3x +4y =7 is written as,
3x + 4y = 7
4y = -3x + 7
y = -3x/4 + 7/4

So
(x,y) = (1,1)
(x,y) = (-7,7) and so on.

There are infinite solutions.