SOLUTION: y=-3x+7 y=4x-7

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Question 200626: y=-3x+7
y=4x-7
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
y=-3x%2B7 Start with the first equation.


4x-7=-3x%2B7 Plug in y=4x-7


4x=-3x%2B7%2B7 Add 7 to both sides.


4x%2B3x=7%2B7 Add 3x to both sides.


7x=7%2B7 Combine like terms on the left side.


7x=14 Combine like terms on the right side.


x=%2814%29%2F%287%29 Divide both sides by 7 to isolate x.


x=2 Reduce.


y=-3x%2B7 Go back to the first equation


y=-3%282%29%2B7 Plug in x=2


y=-6%2B7 Multiply


y=1 Add


So the solutions are x=2 and y=1 which form the ordered pair (2,1).


So the system is consistent and independent.