Final answer:
To determine if 2x + 7 = 3x + 1, solve the given equations for the value of r and substitute it into the equation to determine if it holds.
Step-by-step explanation:
To determine if 2x + 7 = 3x + 1, we can use the given equations to solve for the value of r and then substitute it into the equation.
First, solve the equation 2r + 7 = 27:
2r + 7 = 27
2r = 27 - 7
2r = 20
r = 10
Now, solve the equation 3r + 1 = 28:
3r + 1 = 28
3r = 28 - 1
3r = 27
r = 9
Since r has different values in the two equations, we can conclude that 2x + 7 does not equal 3x + 1.