SOLUTION: How do you get the answer to 2x+7y=3
x=1-4y
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Question 126070This question is from textbook algebra 1
: How do you get the answer to 2x+7y=3
x=1-4y
This question is from textbook algebra 1
Found 2 solutions by jim_thompson5910, stanbon:
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Start with the given system
Plug in into the first equation. In other words, replace each with . Notice we've eliminated the variables. So we now have a simple equation with one unknown.
Distribute
Combine like terms on the left side
Subtract 2 from both sides
Combine like terms on the right side
Divide both sides by -1 to isolate y
Divide
Now that we know that , we can plug this into to find
Substitute for each
Simplify
So our answer is and which also looks like )
Notice if we graph the two equations, we can see that their intersection is at . So this verifies our answer.
Graph of (red) and (green)
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
2x+7y=3
x=1-4y
----------------
Substitute to solve for "y":
2(1-4y) + 7y = 3
2-8y + 7y = 3
-y = 1
y = -1
----------------
Substitute to solve for "x"
x = 1-4*-1
x = 5
===========
Cheers,
Stan H.
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