Solution a.k.a. the coordinate point where the two lines cross/intersect. Example
Solve system by elimination method~
Y= 5x+3
Y= 10x+17
Multiply top by -2.
You now have~
Y=-10x+(-6)
Y=10x+17
********Y= 11(this is the "y" of your end solution)
Now plug 11 into y on either equation (I chose the first one)
11=5x+3
-3 -3
8=5x
÷5 ÷5
********1.6=x (this is the x of your end solution)
So in conclusion, your SOLUTION (the thing you solved this whole system of equations for) is:
(1.6, 11)
*it is written as a coordinate graph point (x, y).
Hope this helps, regards, Ryan S. :)
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In general, a system of non-linear equations cannot be solved by substitutions.
Arthur Cayley
Isolating a variable in one of the equations.
The system of equations developed from the early days with ancient China playing a foundational role. The Gaussian elimination was initiated as early as 200 BC for purposes of solving linear equations.
putang ina nyu