Respuesta :
Answer:
C
also known as:
A=6 B=-15
Step-by-step explanation:
The answer is C because when you plug in those numbers (6 and -15) into the original equation, they make the same line/equation, and to have infinitely many solutions, the lines have to be equal.
Hope this helps!
~gloriouspurpose~
If the value of A and B are 6 and negative 15, then the system of equations will have the infinitely many solutions.
What is the linear system?
A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.
The system of the equation is given below.
4x – Ay = 15.
–4x + 6y = B.
For the infinitely many solutions, the condition is the ratio of the coefficient x, coefficient y, and constant term should be equal.
4 / (–4) = –A / 6 = 15 / B
Take first two terms, then the value of A will be
4 / (–4) = –A / 6
–1 = –A/6
A = 6
Take first and last term, then the value of B will be
4 / (–4) = 15 / B
–1 = 15 / B
B = –15
If the value of A and B are 6 and negative 15, then the system of equations will have the infinitely many solutions.
More about the linear system link is given below.
https://brainly.com/question/20379472
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