Respuesta :
The team played 107 games.
We know that they won 15 more than three times the number of games they lost.
Let "x" represent the number of games they lost, then you can express the number of games they won as "3x+15"
If you add both expressions, the result must be 107, then:
[tex]x+(3x+15)=107[/tex]From this expression, you can determine the value of x.
-Erase the parentheses and simplify the like terms:
[tex]\begin{gathered} x+3x+15=107 \\ 4x+15=107 \end{gathered}[/tex]-Pass 15 to the right side of the equation by applying the opposite operation to both sides of it:
[tex]\begin{gathered} 4x+15-15=107-15 \\ 4x=92 \end{gathered}[/tex]-Divide both sides by 4 to determine the value of x:
[tex]\begin{gathered} \frac{4x}{4}=\frac{92}{4} \\ x=23 \end{gathered}[/tex]The team lost 23 games
