3. Solve the following system of equations. 5x- y+ z= -4 2x+ 2y-3z= -6 x-3y+ 2z= 0 Select the...

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3. Solve the following system of equations.

5x- y+ z= -4

2x+ 2y-3z= -6

x-3y+ 2z= 0

Select the correct choice below:

A. There is one solution. The solution is(     ).

B. There are infinitely many solutions. The solutions(   ,z)

C. There is no solution.

4. The total number of​ restaurant-purchased meals that theaverage person will eat in a​ restaurant, in a​ car, or at home ina year is 150. The total number of these meals eaten in a car or athome exceeds the number eaten in a restaurant by 12. Ten more​restaurant-purchased meals will be eaten in a restaurant than athome. Find the number of​ restaurant-purchased meals eaten in a​restaurant, the number eaten in a​ car, and the number eaten athome.

     of the​ restaurant-purchased meals willbe eaten in a restaurant.

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