Answer:
x = 3 and y = -1
Step-by-step explanation:
using substitution method
let;
2x + 3y = 3 ................ equation 1
x + 2y = 1 ...................... equation 2
from equation 2
x + 2y = 1 ...................... equation 2
x = 1 - 2y .................... equation 3
substitute for x = 1 - 2y in equation 1
2x + 3y = 3 ................ equation 1
2 ( 1 - 2y) + 3y = 3
Open the bracket
2 -4y + 3y = 3
2 - y = 3
-y = 3 - 2
-y = 1
multiply both sides by -
therefore y = -1
put y = -1 in equation 3
x = 1 - 2y .................... equation 3
x = 1 - 2 ( -1)
x = 1 + 2
x = 3
therefore x = 3 and y = -1
to check for the correctness of your answer put the value of x = 3 and y = -1 in any of the equations. e.g
x = 1 - 2y .................... equation 3
3 = 1 - 2(-1)
3= 3................................. proved
