SOLUTION: 5. Solve the system of equations using the addition (elimination) method.
If the answer is a unique solution, present it as an ordered pair: (x, y). If not, specify whether the a
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Question 144716: 5. Solve the system of equations using the addition (elimination) method.
If the answer is a unique solution, present it as an ordered pair: (x, y). If not, specify whether the answer is "no solution" or "infinitely many solutions."
x + 5y = 4
2x – 5y = 2
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Start with the given system of equations:
Multiply the top equation (both sides) by
Multiply the bottom equation (both sides) by
Distribute and multiply
Now add the equations together. In order to add 2 equations, group like terms and combine them
Combine like terms and simplify
Notice how the x terms cancel out
Simplify
Divide both sides by to isolate y
Reduce
Now plug this answer into the top equation to solve for x
Start with the first equation
Plug in
Multiply
Reduce
Subtract 2 from both sides
Combine like terms on the right side
So our answer is
and
which form the ordered pair )
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