Question

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

Answer 1

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

they satisfy the equation y = 2x-3

Hence if we put the values for x and y we will get the values for a and b

In the case of (a,3) ,

y = 2x - 3

3 = 2*a - 3

2a - 3 = 3

2a = 3+3 = 6

2a = 6

a = 6/2 = 3

In the case of (2,b) ,

y = 2x - 3

b = 2*2 - 3

b = 4 - 3

b = 1

Hence,

a = 3 and

b = 1

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Answer 2

Answer:

y=2x-3

3=2×a-3

2a-3=3

2a=6

a=6÷2

a=3

now,

y=2x-3

b=2×2-3

b=4-3

b=1

hence,a=3 and b=1 is answer