Question

Expressing linear equation in standard form
1. Write each of the following equations in the form ax + by + c -O and indicate the values of a,
b and c in each case:
(i) 2x + 3y = 4 (ii) x - 4 = 3 y (iii) 4 = 5x - 3y (iv) 2x - y​

Answer 1

STEP BY STEP EXPLANATION:

i) 2x+3y=4

2x+3y-4=0

ax+by+c=2x+3y+(-4)

Therefore,

a=2,b=3,c=(-4).

ii) x-4=3y

x-3y-4=0

ax+by+c=x+(-3y)+(-4)

Therefore,

a=1,b=(-3),c=(-4).

iii) 4=5x-3y

5x-3y-4=0

ax+by+c=5x+(-3y)+(-4).

Therefore,

a=5,b=(-3),c=(-4).

iv) 2x-y+0=0

ax+by+c=2x+(-1y)+0

Therefore,

a=2,b=(-1),c=0.