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)

hope this .

r3t40

step-by-step explanation:

points a and b are equidistant from the desired line, so the line you find by using them will go through point r.

using points other than a and b will give the desired line only if they are equidistant from r. if they are randomly located, the perpendicular line you create will not necessarily go through point r, hence will not be a solution to the problem.