Question

What is the apparent solution to the system of equations? y=−x+2y=4x+7 Graph the system of equations using the Line tool. Plot a point at the apparent solution to the system using the Point tool

Answer 1

Answer:

Given the system of equation:

$y = -x + 2$ and

$y =4x+7$

Table for the equation $y = -x + 2$ ;

x                y

-1               -3

0              2

1                1

2               0

Then, the points for this equations are: (-1, -3), (0, 2) , (1, 1 ) and (2, 0)

Also, table for the equation: $y =4x+7$

x               y

-1.75         0  

-1              3

0              7

1               11

Then, the points for this equations are: (-1.75, 0) , (-1, 3) , (0, 7) and ( 1, 11)

Using Point tool , we plot these points of the given system of equation on the Cartesian plane.

You can see the graph as shown below in the attachment.

Also, the two lines intersects at (-1, 3)      

Therefore, the apparent solution for the given system of equation is; (-1, 3)