Question

Express -2x+3/2y_4=0 in the form of ax +by +c =0andwrite the value of a ,b and c

Answer 1

Answer:

2x + 8y + (-3) = 0

is the ax + by + c = 0 form of

$\frac{ - 2x + 3}{2y} - 4 = 0$

Here ,

a = 2

b = 8

and

c = -3

Step-by-step explanation:

Given , the equation :

$\frac{ - 2x + 3}{2y} - 4 = 0$

To express the equation in ax + by + c form .

Therefore

$\frac{ - 2x + 3}{2y} - 4 = 0 \\ \\ \implies \frac{ - 2x + 3}{2y} = 4 \\ \\ \implies - 2x + 3 = 2y \times 4 \\ \\ \implies - 2x + 3 = 8y \\ \\ \implies2x - 3 = - 8y \\ \\ \implies2x + 8y - 3 = 0$

$\implies2x + 8y + ( - 3) = 0$

Answer 2

Answer:

$\large{\underline{\boxed{\sf a = 4, \: b = (-3), \: c = 8}}}$

Step-by-step explanation:

Given equation -

$\sf - 2x + \frac{3}{2} y - 4 = 0 \\ \\ \implies \sf \frac{ - 4x + 3y - 8}{2} = 0 \\ \\ \implies \sf - 4x + 3y - 8 = 0 \\ \\ \implies \sf - (4x - 3y + 8) = 0 \\ \\ \implies \sf 4x - 3y + 8 = 0$

Hence, it is in the form of ax + by + c = 0, where the values of a, b and c are:

• a = 4
• b = (-3)
• c = 8