SOLUTION: What is the solution to the system of equations y=10-3x 4x-6y=16

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Question 291011: What is the solution to the system of equations
y=10-3x
4x-6y=16
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
4x-6y=16 Start with the given equation.


4x-6%2810-3x%29=16 Plug in y=10-3x


4x-60%2B18x=16 Distribute.


22x-60=16 Combine like terms on the left side.


22x=16%2B60 Add 60 to both sides.


22x=76 Combine like terms on the right side.


x=%2876%29%2F%2822%29 Divide both sides by 22 to isolate x.


x=38%2F11 Reduce.


y=10-3x Go back to the first equation.


y=10-3%2838%2F11%29 Plug in x=38%2F11


y=10-114%2F11 Multiply


y=-4%2F11 Combine like terms.


So the solutions are x=38%2F11 and y=-4%2F11 which form the ordered pair . Graphically, this means that the two equations intersect at the point .