Rewrite the equation x + y + 3 = - 2x + 4y + 18 into standard form (ax + by = c).

Standard form : Ax + By = C

x + y + 3 = - 2x + 4y + 18

x + 2x + y - 4y = 18 - 3

3x - 3y = 15

Answer

3x - 3y = 15

Standard form of (ax + by = c) given equation is - 3x + 3y = 3

Step-by-step explanation:

Given equation: x + y + 3 = - 2x + 4y

Standard form of equation: ax + by = c

Solution:

x + y + 3 = - 2x + 4y

= - 2x + 4y = x + y + 3

By subtracting x and y from both sides of equation:

= - 2x - x + 4y - y = x + y + 3 - x - y

= - 3x + 3y = 3

So standard form of equation is - 3x + 3y = 3 in which - 3 is a and 3 is b and 3 is equal to c.