Answer :
Solve for one of the variables in the first equation (in this case, I will solve for X):
X = Y + 3
Then use that value of X in the second equation to solve for Y:
X + 3Y = 9
(Y + 3) + 3Y = 9
4Y + 3 = 9
4Y = 6
Y = 1.5
Use the value of Y we just found in the X equation we created:
X = Y + 3
X = 1.5 + 3
X = 4.5
Therefore X = 4.5 or 9/2 and Y = 1.5 or 3/2.
X = Y + 3
Then use that value of X in the second equation to solve for Y:
X + 3Y = 9
(Y + 3) + 3Y = 9
4Y + 3 = 9
4Y = 6
Y = 1.5
Use the value of Y we just found in the X equation we created:
X = Y + 3
X = 1.5 + 3
X = 4.5
Therefore X = 4.5 or 9/2 and Y = 1.5 or 3/2.
X - y = 3 is the same as x=3+y
3+y+3y = 9
3+4y=9
4y=9-3
4y=6
y=6/4
y=3/2
x-(3/2)=3
x=3+(3/2)
x=6/2+3/2
x=9/2
3+y+3y = 9
3+4y=9
4y=9-3
4y=6
y=6/4
y=3/2
x-(3/2)=3
x=3+(3/2)
x=6/2+3/2
x=9/2
