SOLUTION: Solve the system by substitution.
2x – 4y = 18
y = –x – 12
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Question 124717: Solve the system by substitution.
2x – 4y = 18
y = –x – 12
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 48 from both sides
Combine like terms on the right side
Divide both sides by 6 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)
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