SOLUTION: I haven't been successfull figuring this one out. Can anyone help? 2x + y = 0 x + 1.5y = 4.5 Solve the system of linear equations. Thank You!

Algebra ->  Coordinate Systems and Linear Equations  -> Lessons -> SOLUTION: I haven't been successfull figuring this one out. Can anyone help? 2x + y = 0 x + 1.5y = 4.5 Solve the system of linear equations. Thank You!      Log On


   



Question 60943This question is from textbook College Algebra
: I haven't been successfull figuring this one out. Can anyone help?
2x + y = 0
x + 1.5y = 4.5
Solve the system of linear equations. Thank You!
This question is from textbook College Algebra

Answer by jai_kos(139) About Me  (Show Source):
You can put this solution on YOUR website!
Given 2x + y = 0 (1)
x + 1.5 y = 4.5 (2)
Consider equation (1),
2x + y = 0
2x = -y
Divide by “-1”,
-2x = y (3)
Substitute equation (3) in equation (2), we get
x + (1.5) * (-2x) = 4.5
x - 3.00x = 4.5
- 2 x = 4.5
x = 4.5 / -2 = -2.25
Now substitute for x = -2.25 in equation (3),
-2( -2.25) = y
4.5 = y
Therefore the value of x = -2.25 and the value of y = 4.5