SOLUTION: Solve each system by substitution Y=x-5 Y=4x-8 Need to learn how to help my daughter work these problems so I can be on the same page with her. We need step by step direct

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Question 580247: Solve each system by substitution
Y=x-5
Y=4x-8
Need to learn how to help my daughter work these problems so I can be on the same page with her.
We need step by step directions if possible pretty please, it would've grealy appreciated...THANK YOU
Solve each system by elimination
4x-2y=-8
-4x+5y=14
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
# 1

Hint: Since y = x - 5 and y = 4x-8, you can take the first equation y = x - 5 and replace 'y' with '4x-8' to get

y = x - 5

4x-8 = x - 5


From there, solve for x. Once you have the solution for x, use it to find y (by plugging the solution for x into either y = x - 5 or y = 4x-8)

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# 2

Hint:

If you add the two equations, you'll get 

    4x-2y=-8
+  -4x+5y=14 
----------
       3y = 6


From there, solve for y. Then use the solution of y to find x.