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