Answer:
x = 6
y = 1
Step-by-step explanation:
to solve this system of equation we say let
2x + 3y = 15 .......................... equation 1
x - 3y = 3.................................. equation 2
from equation 2
x - 3y = 3.................................. equation 2
x = 3 + 3y.................................... equation3
substitute for x in equation 1
2x + 3y = 15 .......................... equation 1
2(3+3y) + 3y = 15
6 + 6y + 3y = 15
9y = 15 -6 ................................... combining the like terms
9y = 9
divide both sides by the coefficient of y
9y/9 = 9/9
y =1
put y = 1 in equation 3
x = 3 + 3y.................................... equation3
x = 3 + 3(1)
x = 3 +3
x = 6
therefore the value of x is 6 and y is 1 respectively
