SOLUTION: Could you please help me solve this, I have been trying for two days and I am not understanding what I am doing wrong. Thank you soooo much!!!! THe directions state to solve eac

Algebra ->  Coordinate Systems and Linear Equations  -> Lessons  -> Linear Equations Lesson -> SOLUTION: Could you please help me solve this, I have been trying for two days and I am not understanding what I am doing wrong. Thank you soooo much!!!! THe directions state to solve eac      Log On


   

Question 180678: Could you please help me solve this, I have been trying for two days and I am not understanding what I am doing wrong. Thank you soooo much!!!!
THe directions state to solve each by substitution and determine whether the equation is independent, dependent, or inconsistent.
2y=x+6 (this is the first part)
-3x+2y=-2 (this is the second part)
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Solve the system of equations:
1) highlight%282y%29+=+highlight%28x%2B6%29
2) -3x%2Bhighlight%282y%29+=+-2
Substitute equation 1) for the 2y in equation 2).
2a)-3x%2Bhighlight%28x%2B6%29+=+-2 Simplify and solve for x by comining the x's.
2a)-2x%2B6+=+-2 Subtract 6 from both sides of the equation.
2a)-2x+=+-8 Divide both sides by -2.
2a)x+=+4 Now substitute this value of x into either one of the original equations to find y. Let's use equation 1).
2y+=+x%2B6 Substitute x = 4.
2y+=+4%2B6
2y+=+10 Divide both sides by 2.
y+=+5
The solution is: (4, 5) which is the intersection point of the two lines represented by the two linear equation.
graph%28400%2C400%2C-3%2C8%2C-3%2C8%2C%28x%2F2%29%2B3%2C%283%2F2%29x-1%29