SOLUTION: how do i solve 3x + 7y = 16 by using the addition method 4x

SOLUTION: how do i solve 3x + 7y = 16 by using the addition method 4x - 3y = 9

Question 628183: how do i solve 3x + 7y = 16 by using the addition method
4x - 3y = 9
Found 2 solutions by solver91311, josmiceli:
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!

Multiply the first equation by 3 and the second one by 7. Add the two equations term-by-term to eliminate the -variable. Solve the resulting single variable equation for . Substitute the derived value of back into either of the original equations then solve for

Correct your vocabulary. The Elimination method is more accurate and descriptive than the Addition method.

John

My calculator said it, I believe it, that settles it

Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
(1)
(2)
Multiply both sides of (1) by
Multiply both sides of (2) by
Then add (1) and (2)
(1)
(2)

and, since
(2)
(2)
(2)
(2)
(2)
The solution is (3,1)
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