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what is the solution of the system? use elimination. 5x+6y=17 -10x-9y=-43
a. (–7, –3)
b. (7, 3)
c. (7, –3)
d. (–7, 3)

C.(7, –3)

Step-by-step explanation:

5x+6y=17

-10x-9y=-43

Multiply the first equation by 2

2(5x+6y)=17*2

10x +12y = 34

Add this equation to the second equation to eliminate x

-10x-9y=-43

10x +12y = 34

   3y = -9

Divide by 3

3y/3 = -9/3

y = -3

Now we need to find x

5x+6y = 17

5x +6(-3) = 17

5x-18 = 17

Add 18 to each side

5x-18+18 =17+18

5x =35

Divide by 5

5x/5 = 35/5

x =7

(7,-3)

true !

step-by-step explanation:

answer: a video game has three difficulty levels: easy, medium, and expert. the game's scoring works in such a way that a player has to score a fixed number of points to advance to the next level, and then the scoring starts over. the total score needed to clear all three difficulty levels is 7,500. two times the number of points needed to clear the easy level is 500 more than the number of points needed to clear the medium level. twice the number of points needed to clear the medium difficulty level is 1,500 more than the number of points needed to clear the expert level. if x, y, and z represent the easy, medium, and expert levels, respectively, and a is the coefficient matrix of the system of equations modeling this situation, identify the inverse matrix, a-1, and the solution matrix, x, of the system of equations.

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