Question

Given the following system of equations, identify the type of system.

y = -x + 4
2x + 2y = 8

Answer 1

The given system of equations are:

y = -x + 4  .........(1)

2x + 2y = 8 .........(2)

⇒ 2 (x + y) = 8

⇒ x + y = 4

⇒ y = -x + 4  ..........(3)

comparing the equations (1) and (3), we can see that,

both the equations are same.

The 2nd equation is the multiple of 1st equation.

The graphs of these equations overlap each other.

The graph of these equations are attached below.