Question

HomeWorking forSeptember2. The graph of the equation x + 3y = 6 is below. Select ALL coordinatepairs that represent a solution to the equation:yi64022468 x-2(0,2)(0,6)(2.6)OOJO(3.1)(4.1)(6,2)

Answer 1

Pairs of the solution to the equation are

(3, 1), (0, 2)

Explanation:

Given the linear equation to be

x + 3y = 6

To find the solutions to the equation

Firstly, we need to isolate one of the variables to get another variable

To find x, isolate y

let y =0

x + 3(0) = 6

x +0 = 6

x = 6

One of the solutions is (6, 0)

To find y, isolate x

let x = 0

0 + 3y = 6

3y = 6

Divide through by 3

3y/3 = 6/3

y = 2

Another solution is (0, 2)

Another solution is (3, 1)