How do solve the following linear system?: # 2x+5y=1 , 4x+3y=1 #?
To solve a system of two unknowns there are more than a way.
Get rid of
1) Multiply one of the equations by an integer in such a way to obtain opposite coefficients of
2)Add both equations to obtain an equation with one unknown
3) solve for
5) Solve for
Let's apply this method:
Multiply eq.1 by
Adding both equations WEl have:
We can check if the values of
Substitute the values in eq1 :