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)

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

let's solve your equation step-by-step.

4x+2=2x+12

step 1: subtract 2x from both sides.

4x+2−2x=2x+12−2x

2x+2=12

step 2: subtract 2 from both sides.

2x+2−2=12−2

2x=10

step 3: divide both sides by 2.

2x

2

=

10

2

x=5

step-by-step explanation:

70

step-by-step explanation: