Question

Given x and y are positive, find two points, (x, y)
that satisfy the equation 5x + 3y = 28.​

Answer 1

(0, 28/3) and (2, 6).

Explanation:

5x + 3y = 28

3y = 28 - 5x

y = (28 - 5x)/3.

Let x = 2:

y = (28 - 10)/3 = 6

So one point is (2, 6).

Let x = 0:

y = 28/3.

So another point is (0, 28/3).

Answer 2

(2, 6 )

Explanation:

Given

5x + 3y = 28

Rearrange the equation expressing 3y in terms of x

Subtract 5x from both sides

3y = 28 - 5x

Choose suitable values for x and evaluate y, that is

x = 2, then

3y = 28 - (5 × 2) = 28 - 10 = 18 ( divide both sides by 3 )

y = 6

Hence (x, y ) → (2, 6 )