How do I use elimination process when solving two variable equations?

1 answer:

7 0

Solve simultaneously:

<span>15x-8y=52 and
6x+14y=38
</span>
Let's solve this system thru elimination by addition/subtraction:

Let's get rid of the x terms.
To do this, mult. the first eqn. by -6 and the second by 15. (This is not the only way in which we can do this!!) We get

-90x + 48y = -312
90x +210y = 570
--------------------------
Add all 3 columns together. We end up with:

258y = 258, so y = 1. You can find x by subst. 1 for y in either of the given equations.

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