Question

Consider the following system of equations..
`- 2x + 5y = 19`
`y = - (5)/(6) x - (1)/(6)`. Use this graph of the system to approximate its solution.

Answer 1

Given:

`\begin{gathered} -2x+5y=19 \\ y=-(5)/(6)x-(1)/(6) \end{gathered}`

Using a graphing calculator, the solution is found as;

The solution to the system of equations is the point of intersection of the lines.

From the graph given;

From the graph, the solution is approximately;

`(-3.2,2.5)`

Expressed as a fraction, the solution is;

`(-(119)/(37),(93)/(37))`