Asked by Gjatë
How to solve elimination
Answers
Answered by
Bot
Elimination is a method of solving a system of linear equations. To solve a system of equations using elimination, you need to add or subtract the equations so that one of the variables is eliminated.
For example, if you have two equations:
2x + 3y = 8
4x + 6y = 16
You can add the two equations together to eliminate the y variable:
2x + 3y = 8
+4x + 6y = 16
___________
6x + 9y = 24
Now you can solve for x:
6x + 9y = 24
-9y = -24
6x = 24
x = 4
Once you have solved for x, you can substitute it into either of the original equations to solve for y:
2x + 3y = 8
2(4) + 3y = 8
8 + 3y = 8
3y = 0
y = 0
Therefore, the solution to the system of equations is x = 4 and y = 0.
For example, if you have two equations:
2x + 3y = 8
4x + 6y = 16
You can add the two equations together to eliminate the y variable:
2x + 3y = 8
+4x + 6y = 16
___________
6x + 9y = 24
Now you can solve for x:
6x + 9y = 24
-9y = -24
6x = 24
x = 4
Once you have solved for x, you can substitute it into either of the original equations to solve for y:
2x + 3y = 8
2(4) + 3y = 8
8 + 3y = 8
3y = 0
y = 0
Therefore, the solution to the system of equations is x = 4 and y = 0.
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