Question

Solve 2x +3y = 11 and 2x – 4y = -24 by substitution method and elimination method.

Answer 1

Answer:

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Answer 2

Answer:

x = -2 and y = 5

Step-by-step explanation:

Substitution Method

→ 2x + 3y = 11

→ 2x = 11 - 3y

→ x = (11 - 3y)/2 .................(1)

→ 2x - 4y = -24

Substitute value of (1) in above equation

→ 2[(11 - 3y)/2] - 4y = -24

→ 11 - 3y - 4y = -24

→ 11 - 7y = -24

→ - 7y = - 24 - 11

→ - 7y = - 35

→ y = 5

Substitute value of y in (1)

→ x = (11 - 3*5)/2

→ x = (11 - 15)/2

→ x = -4/2

→ x = -2

Elimination Method

→ 2x + 3y = 11

→ 2x = 11 - 3y ...................(1)

→ 2x - 4y = - 24

→ 2x = - 24 + 4y .................(2)

On comparing (1) & (2) we get,

→ 11 - 3y = -24 + 4y

→ 35 = 7y

→ y = 5

Substitute value of y in (1)

→ 2x = 11 - 3(5)

→ 2x = 11 - 15

→ 2x = -4

→ x = -2

Hence, the value of x is -2 and y is 5.