Question

Find the value of x and y if:
(vii) (x-3, 7) = (5,7)
(viii) (2,2y-3)=(2,7)

Answer 1

Hey there!
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For (vii)

(x-3,7) = (5,7)

Thus,

x-3 = 5
x = 8
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For (viii)

(2,2y-3) = (2,7)

Thus

2y-3 = 7
2y = 10
y = 5
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Hence:

X = 8
Y = 5

Answer 2

Answer: x =  8    y = 5

Step-by-step explanation:

Given :  (x-3, 7) = (5,7)  and  (2,2y-3)=(2,7)

To find : x and y

(vii) (x-3, 7) = (5,7)

It is evident that LHS=RHS

Hence x-3=5

x= 5+3

x=8

Hence (5,7)= (5,7)

Proving LHS=RHS

(viii) (2,2y-3)=(2,7)

It is evident that LHS=RHS

Hence 2y-3=7

2y=7+3

2y=10

y=10/2

y=5

Hence (2,2(5)-3)

=(2,10-3)

=(2,7)

Hence, (2,7)=(2,7)

Proving LHS=RHS

Two set of numbers were given where one set was the the LHS and the other number was on the RHS. The value of variables x and y were unknown and to be found. Hence by calculating both sides using LHS=RHS we found the values of x and y to complete the set of numbers on both sides.

Answer : x=8 y=5

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