5x + 3y = 1 Equation (1)
x + 2y= 3 Equation (2)
Isolating x in the equation 2, we have:
x = 3 - 2y
Replacing x=3- 2y in the equation 1, we have:
5(3 - 2y) + 3y = 1
15 -10y + 3y = 1 (Distributing)
15 -7y = 1 (Adding like terms)
-7y = 1 - 15 (Subtracting 15 on both sides of the equation)
-7y = -14 (Subtracting)
y= -14/(-7) (Dividing by - 7 on both sides of the equation)
y = 2
Replacing y=2 in the equation 2
x = 3 - 2*2
x= 3 - 4 (Multiplying)
x= -1 (Subtracting)
The answers are : x= -1 and y=2.