SOLUTION: 1.) y=2x-1 x+3y=11 (The substitution method)

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Question 281653: 1.) y=2x-1
x+3y=11 (The substitution method)
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
x%2B3y=11 Start with the second equation.


x%2B3%282x-1%29=11 Plug in y=2x-1


x%2B6x-3=11 Distribute.


7x-3=11 Combine like terms on the left side.


7x=11%2B3 Add 3 to both sides.


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=2x-1 Go back to the first equation.


y=2%282%29-1 Plug in x=2


y=4-1 Multiply


y=3 Subtract


So the solutions are x=2 and y=3 giving us the ordered pair (2,3)