Answer:
Infinite Solutions
Step-by-step explanation:
[tex] \frac{2x + 6}{4} = \frac{1}{2} x + \frac{3}{2} [/tex]
Get rid of the denominators by multiplying all whole equation by 4.
[tex]( \frac{2x + 6}{ 4} )4 = ( \frac{x}{2} )4 +( \frac{3}{2} )4 \\ 2x + 6 = 2x + 6[/tex]
The interesting part is here. Both sides are same, meaning that if we continue to solve for the equation.
[tex]2x + 6 = 2x + 6 \\ 2x - 2x = 6 - 6 \\ 0 = 0[/tex]
The equation is indeed true. Meaning that both graphs are the same and intercept both each others infinitely.
Therefore the answer is Infinite solution.
