Abaseball team played 161 regular season games. the ratio of the number of games they won to the number of games they lost was 3/4 how many games did they win? how many games did they lose?

The team won 69 games.

The team lost 92 games.

Step-by-step explanation:

We have been given that the ratio of the number of games a baseball team won to the number of games they lost was 3/4.

This means that out of every 7 (3+4) games they won 3 games and lost 4 games.

So the proportion for winning the game to total games will be 3/7.

As they played 161 games, so upon substituting 161 in our above proportion we will get,

Therefore, the team won 69 games.

Now let us find the number of games the team lost.

The proportion for loosing the game to total games will be 4/7.

As they played 161 games, so upon substituting 161 in our above proportion we will get,

Therefore, the team lost 92 games out of 161 games.

answer: the equation matches the regression

step-by-step explanation:

{x = -1/2 ,   y = -1

step-by-step explanation:

solve the following system:

{2 x + y = -2

{10 x - 3 y = -2

in the first equation, look to solve for y:

{2 x + y = -2

{10 x - 3 y = -2

subtract 2 x from both sides:

{y = -2 x - 2

{10 x - 3 y = -2

substitute y = -2 x - 2 into the second equation:

{y = -2 x - 2

{10 x - 3 (-2 x - 2) = -2

10 x - 3 (-2 x - 2) = (6 x + 6) + 10 x = 16 x + 6:

{y = -2 x - 2

{16 x + 6 = -2

in the second equation, look to solve for x:

{y = -2 x - 2

{16 x + 6 = -2

subtract 6 from both sides:

{y = -2 x - 2

{16 x = -8

divide both sides by 16:

{y = -2 x - 2

{x = -1/2

substitute x = -1/2 into the first equation:

{y = -1

{x = -1/2

collect results in alphabetical order:

answer:   {x = -1/2 ,   y = -1