PLEASE HELP Which values for A and B will create infinitely many solutions for this system of equations? 4 x minus A y = 15. Negative 4 x + 6 y = B. A = negative 6, B = 15 A = 6, B = 15 A = 6, B = negative 15 A = negative 6, B = negative 15

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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