A system of equations consists of two lines. One line is represented by the equation y - 6 = 2x and the other line is represented by the equation y = 2 (x+1) + 4. What can you determine about the solution (s) to this system?

a) One Solution (-2, 1)

b) No Solution

c) An Infinite Number of Solutions

d) One Solution (2,8)

Question

Mathematics

Sanaa Sellers

8 July, 02:32

A system of equations consists of two lines. One line is represented by the equation y - 6 = 2x and the other line is represented by the equation y = 2 (x+1) + 4. What can you determine about the solution (s) to this system?

a) One Solution (-2, 1)

b) No Solution

c) An Infinite Number of Solutions

d) One Solution (2,8)

+2

Answers (1)

Know the Answer?

Valerie Edwards · Answer 1

c) An Infinite Number of Solutions

Step-by-step explanation:

y - 6 = 2x

y = 2 (x+1) + 4.

Solve the first equation for y

y = 2x+6

Set the two equations equal

2x+6 = 2 (x+1) + 4

Distribute

2x+6 = 2x+2+4

2x+6 = 2x+6

Subtract 2x from each side

6 = 6

This is always true so there are infinite solutions