Question

Graph the system of equations on your graph paper to answer the question.

{y=−x+3 {y=x+5



What is the solution for this system of equations?

Answer 1

the solution is (-1 , 4)

Answer 2

Here we are given system of equations,

`image`

In order to graph let us find two coordinates for each,

first for equation y=-x+3,

let us say x=0, then y =3, first coordinate (0,3)

let us say x=1, then y= 2, second coordinate (1,2)

Similarly finding coordinates of second equation , y=x+5,

let us say x=0, then y =5, first coordinate (0,5)

let us say x=1, then y= 6, second coordinate (1,6)

Now we can plot these points on graph and the point of intersection will give us the solution.

As seen from graph the point of intersection is at (-1,4).