Mathematics: 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)

A system of equations consists of two lines. One

oscaralan01

27.01.2022

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

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