A) 2x + 5 = 2(x + 1) + 11
2x + 5 = 2x + 2 + 112x + 5 = 2x + 135 = 13
Since the equation leads to a false statement (5 = 13), there is no solution for this equation.
B) 5(2y - 4) = 2(5y - 10)
10y - 20 = 10y - 200 = 0
Since the equation leads to a true statement (0 = 0), it means that the equation is an identity and is true for all values of y.
A) 2x + 5 = 2(x + 1) + 11
2x + 5 = 2x + 2 + 11
2x + 5 = 2x + 13
5 = 13
Since the equation leads to a false statement (5 = 13), there is no solution for this equation.
B) 5(2y - 4) = 2(5y - 10)
10y - 20 = 10y - 20
0 = 0
Since the equation leads to a true statement (0 = 0), it means that the equation is an identity and is true for all values of y.