contestada

PLEASE ANSWER!! i-READY!!! The system of equations 2y = 14 - 2x and y = -x + 7 is graphed is graphed. What is the solution to the system of equations?
A= (0,-7)
B= no solution
C= (0,0)
D= infinitely many solutions

Respuesta :


[tex]y = - x + 7 \\ 2y = 14 - 2x \\ \\ 2( - x + 7) = 14 - 2x \\ - 2x + 14 = 14 - 2x \\ 14 = 14[/tex]
Since 14 does equal 14, the answer will be D.

There are infinitely many solutions of the given system of equations and this can be determined by using the given data.

Given :

System of equation  ---  (2y = 14 - 2x) and (y = -x + 7)

The following steps can be used in order to determine the solution to the system of equations:

Step 1 - Write the given system of equations.

2y = 14 - 2x    --- (1)

y = -x + 7        --- (2)

Step 2 - Observe the above equations, it can be said that equation (1) can be written in form of equation (2):

2(y = -x + 7)

Step 3 - From the above steps, it can be concluded that there are infinitely many solutions of the given system of equations.

Therefore, the correct option is D).

For more information, refer to the link given below:

https://brainly.com/question/2263981