How do you do linear equations with the addition method?

Answer 1

The addition method means multiplying one of the equations by a factor that will make the coefficient of one of the variables equal and opposite to the coefficient of the same variable in another equation. The equations are then added, then that variable will drop out, and the remaining variable solved (or the total variables reduced by one). This can be applied in pairs to any number of equations.

Answer 2

ok with what you just asked i'm assuming you meant systems of linear equations by the addition method.
so lets do an ex
5x+2y=3
7x-2y=7
first we choose which variable to eliminate, the x's, or y's
i tend to do 1st whichever cancels out cleanly 1st
now add them by there vertical coloums

5x+2y=3
7x-2y=7
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12x =10 now solve for x

x = 10/12
x = 5/6


now we can plug x=5/6 into either eqn or start over becoase it doesn't involve fractions like pluging in 5/6 would

5x+2y=3
7x-2y=7
now last time we canceled out the y now this time let's cancel out x by adding them up
but in this case they can't directly cancel
so i'm multiplying eqn 1 by -7 and eqn 2 by 5

-35x-14y=-21
35x-10y=35
and add them as before

-35x-14y=-21
35x-10y=35 the x's cancel
-----------------
-24y=14
y=-14/24
y=-7/12

so the soln to the linear system is (5/6,-7/12)

Answer 3

You are not making yourself clear. Imean what do u mean by linear equations with the addition method. In any linear equation we can do addintion. Please be a little more clear.