7.一天,老师在黑板上布置了这样一道题目:如果2ya-b-3y2a+b+8=0是关于y的一元二次方程,你能试着求出a、b的值吗?
下面是小明和小敏两位同学的解法:
小明:根据题意得$\left\{\begin{array}{l}{2a+b=2}\\{a-b=1}\end{array}\right.$,解方程组为$\left\{\begin{array}{l}{a=1}\\{b=0}\end{array}\right.$.
小敏:根据题意得$\left\{\begin{array}{l}{2a+b=2}\\{a-b=1}\end{array}\right.$或$\left\{\begin{array}{l}{2a+b=1}\\{a-b=2}\end{array}\right.$,解方程组得$\left\{\begin{array}{l}{a=1}\\{b=0}\end{array}\right.$或$\left\{\begin{array}{l}{a=1}\\{b=-1}\end{array}\right.$.
你认为上述两位同学的解法是否正确?为什么?若都不正确,你能给出正确的解答吗?