Question

This is #5
Algebra-Find the value for x
I know it’s 11 but how do I get there.

Answer 1

x = 11

Explanation:

the line x + 5 is a mid segment of the triangle and thus is half the length of 3x - 1, that is

x + 5 =
`(1)/(2)`(3x - 1)

multiply both sides by 2 to eliminate the fraction

2x + 10 = 3x - 1 ( subtract 3x from both sides )

- x + 10 = - 1 ( subtract 10 from both sides )

- x = - 11 ( multiply both sides by - 1 )

x = 11