Trang graphed the system of equations below. y=-2(x+3) y=-2x+3 Trang says that the system of equations has no solution. Which explains whether or not he is correct? Trang is correct because the lines have the same slope but different y-intercepts. Trang is correct because the lines have the same slope and the same y-intercept. Trang is not correct because the lines have the same slope but different y-intercepts. Trang is not correct because the lines have the same slope and the same y-intercept

## Step 1<br />The given system of equations is:<br />\(y=-2(x+3)\) and \(y=-2x+3\).<br /><br />## Step 2<br />We can rewrite the first equation in the form \(y=mx+b\), where \(m\) is the slope and \(b\) is the y-intercept. The equation becomes \(y=-2x-6\).<br /><br />## Step 3<br />Now, we can compare the two equations. Both equations have the same slope, which is -2. However, the y-intercepts are different. The y-intercept of the first equation is -6, while the y-intercept of the second equation is 3.<br /><br />## Step 4<br />Since the lines have the same slope but different y-intercepts, they are parallel and will never intersect. Therefore, the system of equations has no solution.