Question

Solve the system of linear equations by substitution x-y=2 x+2y=5

Answer 1

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Answer 2

x = 3

y = 1

Explanation:

x - y = 2 ---------------(I)

x + 2y= 5 ----------------(II)

x - y = 2

x = 2 + y _________(III)

Substitute x = 2 + y in equation (II)

2 + y + 2y = 5 {combine like terms}

2 + 3y = 5

3y = 5 -2

3y = 3

y = 3/3

y = 1

Substitute y = 1 in equation (III)

x = 2 + 1

x = 3