If the ordered pairs (x,-1) and (5,y) belong to the set {(a,b):b=2a-3}, find the values of x amd y

If the ordered pairs (x,-1) and (5,y) belong to the set {(a,b):b=2a-3}

1.	If the ordered pairs (x,-1) and (5,y) belong to the set {(a,b):b=2a-3}, find the values of x amd y
Answer» We have,(x, -1)\xa0{tex}\\in{/tex}\xa0{(a, b) : b = 2a - 3}and, (5, y)\xa0{tex}\\in{/tex}\xa0{(a, b) : b = 2a - 3}{tex}\\Rightarrow{/tex}\xa0-1 = 2\xa0{tex}\\times{/tex}\xa0x - 3 and y = 2\xa0{tex}\\times{/tex}\xa05 - 3{tex}\\Rightarrow{/tex}\xa0-1 = 2x - 3 and y = 10 - 3{tex}\\Rightarrow{/tex}\xa03 - 1 = 2x and y = 7{tex}\\Rightarrow{/tex}\xa02 = 2x and y = 7{tex}\\Rightarrow{/tex} x = 1 and y = 7