Me !

teague is participating in a 50k run to raise money for a charity. he has already raised $102 and will receive $1.40 for each kilometer he travels. if he wants to raise a minimum of $165, how many kilometers does he need to run?

equation:

define variable:

solve equation:

final

45 kilometers

Step-by-step explanation:

The equation to solve this problem is:

$165 = 1.4x + 102

The variable x represents the number of kilometers he travels.

To solve the equation:

Subtract 102 from each side-

63 = 1.4x

Next divide each side by 1.4-

45 = x

Teague needs to run 45 kilometers in order to raise $165.

step-by-step explanation:

d, x=8

step-by-step explanation:

simplifying

4x + -5 = 2x + 11

reorder the terms:

-5 + 4x = 2x + 11

reorder the terms:

-5 + 4x = 11 + 2x

solving

-5 + 4x = 11 + 2x

solving for variable 'x'.

move all terms containing x to the left, all other terms to the right.

add '-2x' to each side of the equation.

-5 + 4x + -2x = 11 + 2x + -2x

combine like terms: 4x + -2x = 2x

-5 + 2x = 11 + 2x + -2x

combine like terms: 2x + -2x = 0

-5 + 2x = 11 + 0

-5 + 2x = 11

add '5' to each side of the equation.

-5 + 5 + 2x = 11 + 5

combine like terms: -5 + 5 = 0

0 + 2x = 11 + 5

2x = 11 + 5

combine like terms: 11 + 5 = 16

2x = 16

divide each side by '2'.