Question

What is the value of x in the equation 6x + 3 + 4x =

(9 + 10x)?
Enter your answer in the box.
2
TIL
CON
4
6
7
8
CO

Answer 1

9514 1404 393

Answer:

x = 3/10

Explanation:

Given

6x +3 +4x = 1/2(9 +10x)

We can collect term, then multiply by 2.

10x + 3 = (1/2)(9 +10x)

20x + 6 = 10x + 9 . . . . . . . multiply by 2

10x = 3 . . . . . . . . . . . . . . . . subtract (6+10x)

x = 3/10 . . . . . . . . . . . . . . . divide by 10

_____

Check

6(3/10) +3 +4(3/10) = (1/2)(9 + 10(3/10))

1.8 + 3 + 1.2 = 1/2(9 +3)

6 = 6 . . . . . solution checks OK