Which values for a and b will create infinitely many solutions for this system of equations? ax-y=8 2x+y=b plss hurry im being timed
1 a=2 b=8
2 a=-2 b=8
3 a=2 b=-8
4 a=-2 b=-8

A=-2

B=-8

Step-by-step explanation:

In order for the system of linear equations to have infinitely many solution, they must be the same equation.

Ax-y=8

2x+y=B

We need to choose A and B so they are the same equation.

I notice they are both in the same form but in the second column you have opposites;

the -y and y.

So im going to multiply either equation by -1 so that part is exactly the same.

Don't choose both; choose only one.

Let's multiply the first equation by -1.

Doing this gives us the following:

-Ax+y=-8

2x+y=B

So now we can choose A and B so these equations appear exactly the same.

We need -A=2 and B=-8.

-A=2 implies A=(opposite of 2) which is -2.

Conclusion:

A=-2

B=-8

A = -2 and B = -8.

Step-by-step explanation:

Two lines have infinite many solutions if

The given equations are

These equations have infinite many solutions if

or

or

Hence, the value of A is -2 and the value of B is -8.

i dont know

step-by-step explanation: