Answer:
The solution of the system is:
(1,-4)
Step-by-step explanation:
We have to solve the system of equations:
[tex]2x+2y=-6[/tex]
and [tex]3x-2y=11[/tex]
using the graphing calculator.
As the graph are linear hence the solution of the system of equations is the intersection points of the graph of the two equations i.e. the point where the two lines meet.
Hence after plotting the graph of the system of equations we get the intersection point as:
(1,-4)
Hence, the solution of the system is:
(1,-4)
For the system equations, [tex]2x + 2y = -6[/tex] and [tex]3x - 2y = 11[/tex], the solution of the system equation is (1, -4).
System equations can be defined as two or more equations that can be solved together and the solution must satisfy all the given equations that are solved.
Given system equation is,
[tex]2x + 2y = -6[/tex] .............equation 1.
[tex]3x - 2y = 11[/tex]..............equation 2.
When we add both the equations, we get,
[tex]2x + 2y +3x -2y = - 6 + 11[/tex]
[tex]5x = 5[/tex]
[tex]x = 1[/tex]
Substitute the value of x in equation 1 to find out the value of y.
[tex]2\times 1 + 2y = -6[/tex]
[tex]2y = -6-2[/tex]
[tex]2y= -8[/tex]
[tex]y = -4[/tex]
Hence the solution of the system equation is (1, -4).
The graph of the linear equation is attached.
To know more about the linear equation, follow the link given below.
https://brainly.com/question/11897796.
