Question

find four solutions of 2x-3y=-4


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Answer 1

Step-by-step explanation:

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Answer 2

2x-3y=-4

i)Let's take the value of x=1 giving the value of y as:-

2(1)-3y=-4

2-3y=-4

-3y=-4-2

-3y=-6

y=-6/-3

y=2

Here, (x and y) = (1 and 2)

ii)Let's take the value of y=1 giving the value of x as:-

2x-3(1)=-4

2x-3=-4

2x=-4+3

2x=-1

x=-1/2

Here, (x and y) = (-1/2 and 1)

iii)Let's take the value of x=0 giving the value of y as:-

2(0)-3y=-4

0-3y=-4

3y=-4-0

3y=-4

y=-4/3

Here, (x and y) = (0 and -4/3)

iv)Let's take the value of y=0 giving the value of x as:-

2x-3(0)=-4

2x-0=-4

2x=-4+0

2x=-4

x=-4/2

x=-2

Here, (x and y) = (-2 and 0)

Hence, the four solutions of the equation 2x-3y=-4 are (1,2), (-1/2,1), (0,-4/3) and (-2,0).

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