How do you solve the system #2x+5y=-1, 3x-10y=16#?
1 Answer
Explanation:
You have been given two linear equations and are tasked with finding a value for
Graphing
You can graph these two equations by solving them for
The first equation
The second equation
Graphing these two linear equations on the same plane show where they intersect. That is the
graph{(2x+5y+1)(3x-10y-16)=0[-1.1,5,-2,0.1]}
You may have to zoom in a bit to find that they meet at the point
Substitution
You can also multiply the two equations and add them in such a way that one of the variables gets eliminated. For example, if you multiply the first equation by
Adding this version of the equation with the second equation gives:
Or
Notice the two methods give the same answer: