Respuesta :

The solution to the equations 2x + 3y = 3, x – 2y = 5 using substitution method is y = -1 and x = 3 respectively.

Simultaneous equation

2x + 3y = 3

x – 2y = 5

from equation (2)

x = 5 + 2y

Substitute x = 5 + 2y into equation (1)

2x + 3y = 3

2(5 + 2y) + 3y = 3

10 + 4y + 3y = 3

10 + 7y = 3

7y = 3 - 10

7y = -7

y = -7/7

y = -1

Substitute y = -1 into (2)

x – 2y = 5

x - 2(-1) = 5

x + 2 = 5

x = 5 - 2

x = 3

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