Tell whether each equation has one solution, infinitely many solutions, or no solution.
a. 6x + 8 = 6(x + 2)
b. 10x = 15 + 5x
c. x + 11 = 8x + 11 - 7x

a- no solutions

b- one solution

c- no solution

Step-by-step explanation:

6x+8=6(x+2)

Step 1: Simplify both sides of the equation.

6x+8=6(x+2)

6x+8=(6)(x)+(6)(2) (Distribute)

6x+8=6x+12

Step 2: Subtract 6x from both sides.

6x+8−6x=6x+12−6x

8=12

Step 3: Subtract 8 from both sides.

8−8=12−8

0=4

So the answer is no solution.

constant of proportionality = 3 and the equation is c = 3p.

step-by-step explanation:

c = kp   where c = amount of caffeine in mg., p = oz of pepsi and k is the constant of proportionality.

substituting the values given:

24 = 8k

k = 3.

the same value of k will be obtained if we substitute the other given values.