SOLUTION: srry lost my other account password the ones next to each other are all one problem
x=y+1 x+2y=7
3x-y=2 y=2x-9
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Question 130247: srry lost my other account password the ones next to each other are all one problem
x=y+1 x+2y=7
3x-y=2 y=2x-9
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
# 1
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.
Combine like terms on the left side
Subtract 1 from both sides
Combine like terms on the right side
Divide both sides by 3 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)
# 2
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 the negative
Combine like terms on the left side
Subtract 9 from both sides
Combine like terms on the right side
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 )
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