soccer team won three less than two times as many games as they lost. The team played 18 games. How many games did they win? How many games did they lose?

Question

out of 18 games 2 times the loses minus 3 is the wins

Answer 1

Let L = losses and W = wins

 

W + L =18

W = 2L -3

 

Substitute equation 2 into equation 1

2L -3 + L = 18

 

Collect terms and add 3 to each side

3L =21

 

Divide by 3

L = 7

 

Substitute 7 for L in either equation to get W = 11