SOLUTION: y=x+2 2x+y=11 Could someone please help me?

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Question 120606: y=x+2
2x+y=11
Could someone please help me?
Found 2 solutions by jim_thompson5910, Earlsdon:
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.




Combine like terms on the left side


Subtract 2 from both sides


Combine like terms on the right side


Divide both sides by 3 to isolate x



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 Earlsdon(6294)   (Show Source): You can put this solution on YOUR website!
Solve the system of equations:
1)
2)
You can use the substitution method. Substitute the from equation 1) into equation 2) and solve for x.
Simplify.
Subtract 2 from both sides.
Divide both sides by 3.
Now substitute this value of x into either of the two original equations and solve for y. Let's use equation 1)
Substitute


The solution is: (3, 5) and this is the point of intersection of the two lines represented by the two equations.
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