*** show all work and give explanation*** i'm in algebra 2 and we are working with matrices. so that would be the preferred way to go about solving this problem.

at a particular swim meet, 10 points were awarded for each first-place finish, 8 points for second, and 7 points for third.

washington high school had 10 first place finishes, 6 second place finishes and 2 third place finishes.
johnson high school had 8 first place finishes, 9 second place finishes and 1 third place finish.

roosevelt high school had 4 first place finishes, 5 second place finishes and 4 third place finishes.

lewis high school had 3 first place finishes, 3 second place finishes and 6 third place finishes.

find the total number of points for each school. which school won the meet? which school came in second and what was the difference?

The Washington High School won the meet by scoring 162 points

The Johnson High School came in second place by scoring 159 points, 3 points less than the winner.

Step-by-step explanation:

Arithmetics

We need to perform a number of basic arithmetics operations and derive conclusions out of the results.

We know that

* Washington High School had 10 first-place finishes, 6 second-place finishes, and 2 third-place finishes.  

Total points: 10*10+6*8+2*7=162 total points

* Johnson High School had 8 first-place finishes, 9 second-place finishes, and 1 third-place finish.

Total points: 8*10+9*8+1*7=159 total points

* Roosevelt High School had 4 first-place finishes, 5 second-place finishes, and 4 third-place finishes.

Total points: 4*10+5*8+4*7=108 total points

* Lewis High School had 3 first-place finishes, 3 second-place finishes, and 6 third-place finishes.

Total points: 3*10+3*8+6*7=96 total points

The Washington High School won the meet by scoring 162 points

The Johnson High School came in second place by scoring 159 points, 3 points less than the winner.

option 3 . (5x + 1) - (-10x + 6)

step-by-step explanation:

option 1 :

(4x + 3) + (-9x + 4)

or 4x+3 -9x + 4

or -5x + 7

option 2

(x - 2) - (6x - 9)

or x-2-6x + 9

or -5x + 7

option 3

(5x+ + 6)

or 5x + 1 + 10x -6

or 15x -5

option 4

-4x+2x+7-3x

-7x + 2x + 7

-5x + 7

hence only option 3 did   not satisfy the given simplify expression.