Solve the following pairs of linear (simultaneous) equations using method of elimination by substitution:

$2 x + 3 y = 8$

$2 x = 2 + 3 y$

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Solution

2x + 3y = 8...(1)

2x = 2 + 3y...(2)

From (2), 2x = 2 + 3y

Putting this value of 2x in (1)

2 + 3y + 3y = 8

6y = 6

y = 1

From (2) 2x = 2 + 3 (1)

x = 5/2

x = 2.5

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