The variable y is directly proportional to the variable x. if y = 12 when x = 14, what is the value of x when y = 247
a)
26

288.17

Step-by-step explanation:

y ∝ x

⇒ y = kx

substituting the given value of x and y , the equation becomes

12 = 14 k

therefore

k = 12/14

k = 6/7

The formula then becomes

y = 6/7 x

when y = 247, we have

247 = 6/7 x

6x = 247 x 7

6x =  1729

x = 1729/6

x = 288. 17

correct answer is infinitely many solutions

step-by-step explanation:

2(2x + 3) = -4 + 2(2x + 5)

solving the above equation:

4x + 6 = -4 +4x +10

combining like terms

4x -4x = -4+10-6

0=0

since both sides are 0=0, we end up into true statement it means it has infinite many solutions.

so correct answer is infinitely many solutions

your answer would be 12