solve by substitution. x-y=-6 -2x+8y=18 Label the system consistent, inconsistent or dependent.?

Question

Show step by step please.

Answer 1

x-y+-6 -2x+8(-x-6)=18
-x -x -2x-8x-48=18
------------- -------------
y=-x-6 -10x -48=18
+48 +48
y=-66/10-6 --------------------
-10x=66
/-10 /-10 x=-6and 6/10

Final answer= x=6 and 3/5 Y= -12 and 3/5 Im not sure about consistent and all that

Answer 2

OK solve for x in terms of y by adding the y to the right side in the first equation:

x = y - 6

Now plug this into the other equation:

-2(y - 6) + 8y = 18
-2y + 12 +8y = 18
6y + 12 = 18

Subtract the 12 to the right to get

6y = 6

Divide 6 from each side:

Thus, y = 1.

Now, plug this into the first equation:

x - y = -6
x - 1 = -6

Add the 1 over:

Therefore, x = -5.

The system is consistent because you were able to come up with a single set of solutions.

Answer 3

x = y - 6
- 2.(y - 6) + 8y = 18
6y = 6
y = 1
x = - 5
(These answers ar consistent.)

Answer 4

X=Y-6
2(Y-6)+8Y=18
2Y-12+8Y=18
10Y=30
Y=3

X=Y-6
X=3-6
X=-3


a/a'= -1/2
b/b'= -1/8

it is consistent