SOLUTION: 2x+5y=4
x+5y=7
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Question 178815: 2x+5y=4
x+5y=7
Found 2 solutions by jim_thompson5910, jojo14344:
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Start with the given system of equations:
Multiply the both sides of the second equation by -1.
Distribute and multiply.
So we have the new system of equations:
Now add the equations together. You can do this by simply adding the two left sides and the two right sides separately like this:
Group like terms.
Combine like terms.
Simplify.
------------------------------------------------------------------
Now go back to the first equation.
Plug in .
Multiply.
Add to both sides.
Combine like terms on the right side.
Divide both sides by to isolate .
Reduce.
So our answer is and .
Which form the ordered pair )
.
This means that the system is consistent and independent.
Notice when we graph the equations, we see that they intersect at . So this visually verifies our answer.
Graph of (red) and (green)
Answer by jojo14344(1513) (Show Source): You can put this solution on YOUR website!
Line eqns:
In EQN 2 we get,
--->
, EQN 3,subst. in EQN 1:
---->
subst. in EQN 3:
As we see the graph,
----->RED>>> EQN 1; GREEN EQN 2
Thank you,
Jojo
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