System of Linear Equation

To solve a system of 3 linear equations, a student splits it into 2 subsystems as follows:

SYSTEM 1

(1/2)x-5y=-20

x-(4/5)y=6

SYSTEM 2

(3/5)x-2y=-4

(1/2)x-5y=-20

Solve both sub systems. and state what your solution (if one exists) tells you about the original system of 3 linear equations.

I've tried solving the 1st one and the 2nd by using the elimination method..

S1=

(1/1/2)x-5.8=-14

=(1/1/2)x=-14+5.8

=(1/1/2)x=-8.2

im stuck from this point..how do i get rid of the 1/1/2 so it ll just be x.

S2=

(1/2)x-5y=-20

(3/5)x-2y=-4

===========

1/1/10=7y=-24

-7y=-25.1

y=-25.1/7

y=-3.5857

is this correct for system 2?

what will the solution tell me about the original system of 3 linear equations.?

Re: System of Linear Equation

I don't understand what you've done with S1... You should just multiply the equation by 2 and then subtract the second equation from the first...

Re: System of Linear Equation

Quote:

Originally Posted by

**Prove It** I don't understand what you've done with S1... You should just multiply the equation by 2 and then subtract the second equation from the first...

I was using the elimination method where i would add the two equations and solve until i get x and then substitute the x value..guess i messed up that part