SOLUTION: Could someone please help with this. I have to solve this by the elimination method and I have to show the steps. I am stumped. Please help. solve by elimination y= 5x-10

Question 605939: Could someone please help with this. I have to solve this by the elimination method and I have to show the steps. I am stumped. Please help.
solve by elimination y= 5x-10
2x + 3y=21
Thank you so much for the help!
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
solve this by the elimination method
solve by elimination
y = 5x - 10
2x + 3y = 21
:
Put the 1st equation into standard form also
y = 5x - 10
subtract 5x from both sides
-5x + y = -10
multiply by -3, add to the 2nd equation
15x - 3y = +30
2x + 3y = 21
-----------------adding eliminates y find x
17x = 51
x = 51/17
x = 3
:
Find y using the original 1st equation
y = 5(3) - 10
y = 15 - 10
y = 5
:
The solution is x=3, y=5
:
Confirm this in the 2nd equation
2(3) + 3(5) = 21
6 + 15 = 21
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