contestada

Study this system of equations.
6x + y = 14
y + 6x = 11
Which statement describes the solution to this system of equations.
A
There is exactly one solution at (14, 11).
B
There are no solutions.
C
There is exactly one solution at (3, -4).
D
There are infinitely many solutions

Respuesta :

msm555

Answer:

B) There are no solutions.

Step-by-step explanation:

To find the solution to the system of equations, we can use the elimination method or substitution method. Let's use the elimination method:

Given the system of equations:

[tex]\sf 6x + y = 14 [/tex]

[tex]\sf y + 6x = 11 [/tex]

We can subtract the second equation from the first equation to eliminate [tex]\sf y [/tex]:

[tex]\sf (6x + y) - (y + 6x) = 14 - 11 [/tex]

Simplifying both sides:

[tex]\sf 6x + y - y - 6x = 3 [/tex]

The [tex]\sf y [/tex] terms cancel out:

[tex]\sf 0 = 3 [/tex]

This results in an inconsistency, indicating that there is no solution to the system of equations. The system of equations is inconsistent and has no solution.

Therefore, the statement that describes the solution is:

B) There are no solutions.

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