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

$2 x - 3 y = 7$

$5 x + y = 9$

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Solution

2x - 3y = 7...(1)

5x + y = 9...(2)

From (2), y = 9 - 5x

Putting this value of y in (1)

2x - 3 (9 - 5x) = 7

2x - 27 + 15x = 7

17x = 34

x = 2

From (2)

y = 9 - 5(2)

y = -1

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Similar questions

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

$2 x + 7 y = 39$

$3 x + 5 y = 31$

2 x - 3 y = 7

5 x + y = 9

2 x - 3 y = 7

5 x + y = 9

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