Question

Write 3 solutions of x+3y = 6​

Answer 1

For the given linear equation, x + 3y = 6, in two unknowns or variables, x and y, there are an INFINITE NUMBER of solutions, i.e., ordered pairs, (x, y), which make the equation true, not just one solution or "the" solution; We can see this fact much more clearly if we convert the given equation from the Standard Form for the equation of a straight line (Ax + By = C) to the Slope-intercept Form (y = mx + b) for the equation of a straight line by solving the given equation for y in terms of x as follows:

Equation 1: x + 3y = 6 (Given)

x - x + 3y = 6 - x

0 + 3y = 6 - x

3y = 6 - x

(3y)/3 = (6 - x)/3

(3/3)y = (6/3) - (x/3)

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

y = 2 + (-x/3)

y = (-x/3) + 2

Answer 2

Answer:

3 solutions of the equation x + 3y= 6 ; are

Step-by-step explanation:

x+3y = 6

Put x= 1

$1 + 3y = 6$

$3y = 6 - 1$

$3y = 5$

$y = \frac{5}{3}$

put x =2

$2 + 3y = 6$

$3y = 6 - 2$

$3y = 4$

$y = \frac{1}{3}$

put x= 3

$3 + 3y = 6$

$3y = 6 - 3$

$3y = 3$

$y = \frac{3}{3}$

$y = 1$

note: you can put any value on the place of (x) to get solutions of the equation.

$\sf\red{hope\:it\:helps\:you}$