The equations in the system below are equivalent. y=2(x+4) y=2x+8 How many solutions does the system have? no solution one unique solution two solutions an infinite number of solutions

## Step 1<br />The given system of equations is:<br />\(y=2(x+4)\)<br />\(y=2x+8\)<br /><br />## Step 2<br />We can simplify the first equation by distributing the 2 on the right side of the equation. This gives us:<br />\(y=2x+8\)<br /><br />## Step 3<br />Now, we can see that both equations are identical. This means that they represent the same line.<br /><br />## Step 4<br />Since the two equations are identical, they intersect at every point on the line. This means that there are an infinite number of solutions to this system of equations.