Question

Give the equivalent linear function in standard form: (ax + by = c):

a.x=9-3y/-2
b.y=-4x+5/3

Answer 1

a.

- 3 y / - 2 = 3 y / 2 = ( 3 / 2 ) y

So :

x = 9 - 3 y / - 2 = 9 + ( 3 / 2 ) y

x = 9 + ( 3 / 2 ) y Subtract ( 3 / 2 ) y to both sides

x - ( 3 / 2 ) y = 9 + ( 3 / 2 ) y - ( 3 / 2 ) y

x - ( 3 / 2 ) y = 9


When you compare with :

a x + b y = c

you can see :

a = 1

b = - ( 3 / 2 )

c = 9


b.

y = - 4 x + 5 / 3 Add 4 x to both sides

y + 4 x = - 4 x + 5 + 4 x

y + 4 x = 5

4 x + y = 1


When you compare with :

a x + b y = c

you can see :

a = 4

b = 1

c = 1

Answer 2

Thank you so much :D