Which of the following equations have the same solution? Give reasons for your answer that do not depend on solving the equations?

a and f

Step-by-step explanation:

a. x + 3 = 5x - 4

x - 5x = -4 - 3

-4x = -7

x = -7/-4

x = 7/4

b. x - 3 = 5x + 4

x - 5x = 4 - 3

-4x = 1

x = -1/4

c. 2x + 8 = 5x - 3

2x - 5x = -3 - 8

-3x = -11

x = -11/-3

x = 11/3

d. 10x + 6 = 2x - 8

10x - 2x = -8 - 6

8x = -14

x = -14/8

e. 10x - 8 = 2x + 6

10x - 2x = 6 + 8

8x = 14

x = 14/8

f. 0.3 + x/10 = 1/2x - 0.4

3/10 + x/10 = 1/2x - 4/10

x/10 - 1/2x = -3/10 - 4/10

x/10 - 5/10x = -7/10

-4x/10 = -7/10

-4x = -7

x = -7/-4

x = 7/4

b. 6

step-by-step explanation:

we are given the table representing an exponential function.

we can see from the table that, as x is increasing, the value of y is increasing in the power of 6.

i.e. the following relation is obtained,

x = 1, y = 6

x = 2, y = 36 =

x = 3, y = 216 =

x = 4, y = 1296 =

x = 5, y = 7776 =

so, the geometric series obtained is .

thus, the common ratio is given by = = 6.

hence, the common ratio is 6.