During a baseball season, team a scores 9 runs for every 7 runs that team b scores. the total number of runs scored by both teams is 1440. how many run does each team score?

∴ Team b scores is 630

And team a scores is 810

Step-by-step explanation:

Given;

Team a scores runs for every   runs that team b scores.

Lets,

Think b is scores  runs;

Then a is scores ;

Because every 7 runs of b , a is scores more 2 runs.

Total number of runs scored by both teams is 1440

Runs score by team a + Runs score by team b=1440

∴ Team b scores is 630

And team a scores is

{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