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

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.

logv3(x+2)=1

rewrite in exponential form:

logb(x) = y is equal to b^y =x

b = 3, y = 1

now solve for x:

3^1 = x+2)

x = 3-2

x = 1

see the picture for the graph.