108k views
1 vote
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

1 Answer

5 votes

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

User Karthikeyan Ve
by
8.5k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories