SOLUTION: Hello, May you please solve the linear system of.... y=3x-6 y=-7x-1 Thanks!

Question 940055: Hello,
May you please solve the linear system of....
y=3x-6
y=-7x-1
Thanks!
Found 2 solutions by etutorworld, srinivas.g:
Answer by etutorworld(19) (Show Source): You can put this solution on YOUR website!
Here we are given 2 equations and we have to find 2 unknown variables namely x, y
We first eliminate any one of the variable and find the other. Once the value of one variable is found,then we plug this value in any of the equations to find the value of the other.
y = 3x -6
y = -7x -1
If we subtract the 2 eqautions, the y variable becomes zero
y-y = 3x - (-7x)-6 -(-1)
0= 10x -5
10x = 5
x =1/2
Plug x = 1/2 in the first equation to obtain y
y = 3(1/2) -6
= 3/2 -6
= -9/2
(x, y) = (1/2, -9/2)
Answer by srinivas.g(540) (Show Source): You can put this solution on YOUR website!
y=3x-6
y=-7x-1
3x-6 =-7x-1
add 7x on both sides
3x-6+7x =-7x-1+7x
10x-6 =-1
add 6 on both sides
10x-6+6 =-1+6
10x= 5
divide with 10 on both sides

y = 3x-6
=
=
=
=
=
Result: x= 1/2 y =-9/2
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