SOLUTION: solve by addition method. 2x-6y=0 3x-7y=0

Algebra ->  Linear-equations -> SOLUTION: solve by addition method. 2x-6y=0 3x-7y=0      Log On


   



Question 1116561: solve by addition method.
2x-6y=0
3x-7y=0

Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Both lines will pass through (0,0).

system%28y=x%2F3%2Cy=3x%2F7%29
-
system%2814x-42y=0%2C18x-42y=0%29-------add the negative of one equation to the other...

system%286x-18y=0%2C6x-14y=0%29-------add the negative of one equation to the other...

graph%28300%2C300%2C-4%2C4%2C-4%2C4%2Cx%2F3%2C3x%2F7%29


-

Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!

solve by addition method.
2x-6y=0
3x-7y=0
Multiply eq (i) by - 3 to get eq (iii), a new equation
Multiply eq (ii) by 2 to get eq (iv), another new equation
Add the 2 new equations (iii and iv) to get value of y
Substitute y-value into any of the 2 original equations to get the value of x
OR:
If you wish to continue using tHe same Addition method, then:
Multiply eq (i) by 7 to get eq (v), a new equation
Multiply eq (ii) by - 6 to get eq (vi), another new equation
Add the 2 new equations (v and vi) to get value of x
That's the NORMAL way to solve a system of equations. However, in the case of these 2 equations, it's OBVIOUS that both variables have the same value, 0.