SOLUTION: 9) how to solve y=2x+10 with the substitution of y=-2x-6

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Question 395470: 9) how to solve y=2x+10 with the substitution of y=-2x-6
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
y=2x%2B10 Start with the first equation.


-2x-6=2x%2B10 Plug in y=-2x-6


-2x=2x%2B10%2B6 Add 6 to both sides.


-2x-2x=10%2B6 Subtract 2x from both sides.


-4x=10%2B6 Combine like terms on the left side.


-4x=16 Combine like terms on the right side.


x=%2816%29%2F%28-4%29 Divide both sides by -4 to isolate x.


x=-4 Reduce.


y=2x%2B10 Go back to the first equation.


y=2%28-4%29%2B10 Plug in x=-4


y=-8%2B10 Multiply


y=2 Add


So the solutions are x=-4 and y=2 which form the ordered pair (-4,2)


So the system is consistent and independent.


If you need more help, email me at jim_thompson5910@hotmail.com

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Jim