In the pair of equations bx-6y=18 and 2x-3y=9,b is a constant. The system of two equations has infinitely many solutions. What is the value of b

Question

asked Oct 14, 2019 78.7k views

2 Answers

Assen · Answer 1 · 2019-10-15T13:56:04+0000

If this system has infinitely many solutions, then one of the equations is a multiple of the other.

Compare:

bx-6y=18

2x-3y=9

Try this: Multiply all terms of the second equation by 2. We get:

4x - 6y = 18. To find b, set bx = 2x and simplify. We discover that b must have the value 2.