What value of b will cause the system to have an infinite number of solutions? y = 6x-b 3x+1/2y=-3 -3x + 2 y = -3 b = O 2 X 04 6 8

Question

asked Mar 28, 2021 108k views

1 Answer

Karthikeyan Ve · Answer 1 · 2021-04-04T01:27:22+0000

Answer:

6

Explanation:

Given the system of equations:

y = 6x-b (eq. 1)

-3x+1/2y = -3 (eq. 2)

We can rewrite eq. 1 as follows:

-6x + y = -b

Dividing by 2:

(-6x + y)/2 = -b/2

-6x/2 + y/2 = -b/2

-3x + 1/2y = -b/2

The system of equations will have infinite number of solutions if both equations are equal. Therefore:

-b/2 = -3

b= -3*(-2)

b = 6