Question

Jose solved the system of two equations below by using the table on his calculator.What was the solution of the system of Equations Jose solved?

Answer 1

We are given the following system of equations:

`\begin{gathered} y=2x+1,(1) \\ y=-4x+7,(2) \end{gathered}`

We are asked to determine the solution of the system of equations using the given table.

The solution of the system is a set of values (x,y) where the same value of "x" yields the same value of "y" if we plug it in equations (1) and (2).

From the table we have that:

`x=1`

When substituted in equations (1) and (2) we get the values:

`f_1(1)=f_2(1)=3`

Therefore, the solution of the system is:

`(x,y)=(1,3)`