Question

find four solutions and draw graph of -4x+3y=12

Answer 1

Step-by-step explanation:

Given :-

-4x+3y = 12

To find :-

Find four solutions for the equation ?

Solution:-

Given equation is -4x+3y = 12 --------(1)

Put x = 0 in (1) then

=> -4(0)+3y = 12

=> 0+3y = 12

=> 3y = 12

=> y = 12/3

=> y = 4

The solution = (0,4)

Put y = 0 in (1) then

=> -4x+3(0) = 12

=> -4x +0 = 12

=> -4x = 12

=> x = 12/-4

=> x = -3

The solution = (-3,0)

Put x = 3 in (1) then

=> -4(3)+3y = 12

=> -12+3y = 12

=> 3y = 12+12

=> 3y = 24

=> y = 24/3

=> y = 8

The solution = (3,8)

Put y = -4 in (1) then

=> -4x+3(-4) = 12

=> -4x-12 = 12

=> -4x = 12+12

=> -4x = 24

=> x = 24/-4

=> x = -6

The solution = (-6,-4)

Answer:-

The four solutions for the given equation are (0,4),(-3,0), (3,8),(-6,-4)