Question

How many solutions are in 10(x + 4) – 3 = 14x + 1

Answer 1

Answer:

only one

x = 9

Step-by-step explanation:

how many solutions are in 10(x + 4) – 3 = 14x + 1

10(x + 4) – 3 = 14x + 1

10x + 40 - 3 = 14x + 1

-4x = 36

x = 9

only one

x = 9

Answer 2

Answer:

one solution

Step-by-step explanation:

since the variables are only to a power of one, the options are no solutions, one solution, and infinitely many solutions.

using the distributive property, 10(x+4)= 10x + 40. simplify the equation 10x + 40 - 3 = 14x +1 to 10x + 37 = 14x + 1. move variables to one side and constants to another to get 4x = 36. divide to get x=6. so the answer is one solution

since we don't have something like 1=0 where two unequal constants are said to be equal, the answer isn't no solutions

since we dont have something like 1=1 where the two sides of the equation are equal no matter what x is, the answer isn't infinitely many solutions