SOLUTION: Solve each system by the addition method. Determine whether the equations are independent, dependent, or inconsistent 3x – 2.5y = 7.125 2.5x – 3y = 7.3125

Algebra ->  Average -> SOLUTION: Solve each system by the addition method. Determine whether the equations are independent, dependent, or inconsistent 3x – 2.5y = 7.125 2.5x – 3y = 7.3125       Log On


   

Question 317542: Solve each system by the addition method. Determine whether
the equations are independent, dependent, or inconsistent
3x – 2.5y = 7.125
2.5x – 3y = 7.3125

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
1.3x-%285%2F2%29y=57%2F8
2.%285%2F2%29x-3y=117%2F16
Multipy both equations by 16 first.
1.48x-40y=114
2.40x-48x=117
Multiply eq. 1 by (5) and eq. 2 by (-6) and add them,
240x-200y-240x%2B288y=570-702
88y=-132
y=-132%2F88
highlight%28y=-3%2F2%29
Then use either equation to solve for x,
48x-40%28-3%2F2%29=114
48x%2B60=114
48x=54
x=54%2F48
highlight%28x=9%2F8%29
This system has one solution. It's indepedent.