Question

What is the value of x in the proportion (x - 1)/5 = (4x + 2)/35?

Answer 1

Answer:

x=3

Step-by-step explanation:

1. cross multiply to get

5(4x+2)= 35(x-1)

2. distribute

20x+10=35x-35

3. combine like terms

45=15x

4. divide :)

3=x

Answer 2

Answer:

x = 3

Step-by-step explanation:

(x - 1)/5 = (4x + 2)/35

to find the value of x

the first thing to do is to cross multiply

from this ,

(x-1)/5 = (4x + 2)/ 35

35(x-1) = 5( 4x + 2)

35x - 35 = 20x + 10

we are going to collect the like terms

35x -20x = 10 + 35

15x = 45

we are going to divide both sides by the coefficient of x which is 15

we have,

15x/15 = 45/15

x = 3

therefore the value of x = 3

to check if your answer is correct, put the value of x and slot it into one of the equations.

35x - 35 = 20x + 10

35(3) - 35 = 20(3) + 10

105 - 35 = 60 + 10

70 = 70........................ proved.