13. for what value of b would the following system of equations have an infinite number of solutions?
9x + 12y = 21
6x + 8y = 7b
explain and show steps : )

b=2

Step-by-step explanation:

we have

9x+12y=21 > equation A

6x+8y=7b > equation B

we know that

If the system of equations have an infinite number of solutions then the equation A must be equal to the equation B

Multiply equation B by 1.5 both sides

1.5*[6x+8y[=7b*1.5

9x+12y=10.5b > equation C

Compare equation A and equation C

9x+12y=21 > equation A

9x+12y=10.5b > equation C

For the equations to be equal it must be fulfilled that

21=10.5b

solve for b

b=21/10.5

b=2

the ratio of white tiles to blue tiles is 48: 16. the ratio in it's simplest form is 3: 1.

step-by-step explanation:

ratio: take the first number and add a colon next to it, then add the second number after that. make sure the ratio order matches up with the written problem!

simplest form: we can simplify the ratio 48 : 16 by dividing both terms by the greatest common factor (gcf).

the gcf of 48 and 16 is 16.

divide both terms by 16:

48 ÷ 16 = 3

16 ÷ 16 = 1

reducing to simplest form:

48 : 16 = 3 : 1

heyyy

step-by-step explanation: