What value of b will cause the system


Asked by maham237 @ in Mathematics viewed by 341 People


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

Answered by maham237 @



we have

y=6x-b -----> equation A

-3x+\frac{1}{2}y=-3 -----> equation B

we know that

If the system has infinite number of solutions then, the equation A is equal to the equation B

so

isolate variable y in the equation B

-3x+\frac{1}{2}y=-3

Multiply by 2 both sides

-6x+y=-6

y=6x-6 -------> new equation B

To find the value of b, equate equation A and equation B

6x-b=6x-6

b=6

therefore

the answer is

b=6


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