Solve, using elimination method
1. 2x+5y=19
2.3x-2y=19

(7, 1 )

Step-by-step explanation:

2x + 5y = 19 → (1)

3x - 2y = 19 → (2)

multiplying (1) by 2 and (2) by 5 then adding will eliminate y

4x + 10y = 38 → (3)

15x - 10y = 95 → (4)

add (3) and (4) term by term to eliminate y

19x + 0 = 133

19x = 133 ( divide both sides by 19 )

x = 7

substitute x = 7 into either of the 2 equations and solve for y

substituting into (1)

2(7) + 5y = 19

14 + 5y = 19 ( subtract 14 from both sides )

5y = 5 ( divide both sides by 5 )

y = 1

solution is (7, 1 )

Rate = Total points scored /  total games:

Rate = 33 points / 3 games = 11 points per game.

The equation for total points (y) would be to multiply 11 by the number of games played (x).:

y = 11x

For 5 games, replace x with 5 and solve:

y = 11(5)

y = 55 total points.