Examine this system of linear equations. y – 3x = –2, y = 4. which is a solution of the system of equations?

(0, 4)
(2, 2)
(2, 4)
(4, 2)

the third option is the correct answer

Step-by-step explanation:

The given system of linear equations is expressed as

y – 3x = –2 - - - - - - - - - - - -1

y = 4 - - - - - - - - - - - - - 2

The first step is to substitute equation 1 into equation 2. It becomes

4 – 3x = –2

Subtracting 4 from the left hand side and the right hand side of the equation, it becomes

4 - 4 - 3x = –2 - 4

- 3x = - 6

Dividing the left hand side and the right hand side of the equation by - 3, it becomes

- 3x/ - 3 = - 6/ - 3

x = 2

(2, 4)