Price of one ride is equals to $3 for the given system of equations.
" System of equations is a finite set of equations for which we find the common solution."
According to the question,
x represents the number of rides
y represents the number of games
Two situations are given for which we need to find the system of equations .
Situation 1: Zack went for 3 rides and played 5 games and paid $14, which represents the equation:
3x +5y = 14
⇒ 5y = 14 - 3x
⇒ y = ( 14 - 3x) / 5
Situation 2: Marissa went for 4 rides and played 4 games and paid $16, which represents the equation:
4x +4y = 16
Substitute the value y in situation 2 we get,
4x + 4[( 14 - 3x) / 5] =16
⇒ x = 3
Hence, price of one ride is equals to $3 for the given system of equations.
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