These are usually linear equations which must each be satisfied by the same values of the unknowns.
They look like this ax+by=cax−by=d and so in essence then, we have to find the values of [x] and [y] that will solve both equations.
Let us now work through some processes to solve the simultaneous equations:
2x+5y=63x+2y=−2
1.
x=6−5y2=3−5y2 rearrange the first equation to make it equal x
2.
3(3−5y2)+2y=−2 substitute the above into the second equation
3.
−15y2+2y=−2−9 expand the bracket and bring the 9 across
4.
−15y2+4y2=−11 make sure the 2 unknowns have the same denominator!
5.
−15y+4y=2(−11) multiply both sides by 2
6.
−11y=−22 bring everything together
