SOLUTION: 2y + 3x = 12
-4y + 5x = -2
How do I solve the above linear equations using the elimination method? I don't understand
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Question 324946: 2y + 3x = 12
-4y + 5x = -2
How do I solve the above linear equations using the elimination method? I don't understand
Answer by Earlsdon(6294) (Show Source): You can put this solution on YOUR website!
Solve by eliminiation:
Here you have two equations in two unknowns. The idea behind the "elimination" method is to eliminate one of the variables (either x or y) then solve for the remaining variable. Once you know the value of one of the variables, you can find the value of the other one by substitution.
Let's start:
1) Multiply this equation by 2.
2)
--------------------
1a)
2a) Add these two equations to eliminate the y-variable.
----------------------
3) Divide both sides by 11.
3a) Now substitute this value of x into either one of the two original equations to solve for y. Let's use equation 1).
1) Substitute x = 2.
1a)
1b) Subtract 6 from both sides.
1c) Divide both sides by 2.
1d)
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