Matthew went shopping and bought 2 pairs of pants and one pair of shoes for $92. Michael went shopping and bought one pair of pants and 3 pairs of shoes for $161. How much does a pair of pants cost? How much does a pair of shoes cost?

 $46

Step-by-step explanation:

set shoes as S

set pants as P.

2P+S=$92   - equation 1

P+3S=$161  - equation 2

equation 2 can also be written as:

P=$161-3S

so sub equation 2 into 1

∴2($161-3S)+S=$92

$322-6S+S=$92

$230=6S-S

5S=$230

S=46

75

step-by-step explanation:

you do x-29=46 (the number of cantaloupes sold)

in order to find x, you have to find what minus 29 equals 46, meaning you'd have to add 29 to 46.

29+46=75

if you replace x with 75, the equation looks like:

75-29=46

x=75