SOLUTION: what is x=y+4
2x+3y=43
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Question 175260This question is from textbook algebra 2
: what is x=y+4
2x+3y=43
This question is from textbook algebra 2
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Start with the given system
Plug in into the second 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 8 from both sides
Combine like terms on the right side
Divide both sides by 5 to isolate y
Divide
Now that we know that , we can plug this into to find
Substitute for each
Add
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)
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