6x+2y=6
Multiply both side by 3
6x*3+2y*3=6*3
18x+6y=18
7x+3y=5
Multiply both side by 2
7x*2+3y*2=5*2
14x+6y=10
Next, use substitute property:
18x+6y=18
-
14x+6y=10
=
4x=8
Divided both side by 4
4x/4=8/4
x=2
7x+3y=5
Substitute x with 2
7(2)+3y=5
14+3y=5
Subtract both side by 14
14+3y-14=5-14
3y=-9
Divided both side by 3
3y/3=-9/3
y=-3, so the solution is (2,-3)
5/ 3x+5y=2
Multiply both side by 2
3x*2+5y*2=2*2
6x+10y=4
6x+10y=8
Use substitute property:
6x+10y=4
-
6x+10y=8
=
0=4, so this equation has no solution
6/
-5/8x+3/4y=12
Multiply both side by 16
-5/8x*16+3/4y*16=12*16
-10x+12y=192
10x-12y=-192
8x+12y=11; so A is your final answer because when you add two of them together, you can eliminate y.
7/
In my opinion, C is your final answer. Hope it help!