Question

Your friend, Taylor, missed class today and needs some help identifying solutions to systems. Explain to Taylor how to find the solution(s) of any system using its graph.

Answer 1

Consider the system of equations,

`2x-3y=10` and
`x-5y=15`

As we know that,

'The intersection points of the graphs of the system of equations are the solutions of the system of equations'.

So, after plotting the given graphs, we see that,

The only intersection point is (0.714,-2.857).

Thus, the solution of the system is x= 0.714 and y= -2.857.