17. Solve the system by substitution 3x +2y-20 (1) -x+ y=10 The solution set is

Question

17. Solve the system by substitution 3x +2y-20 (1) -x+ y=10 The solution set is Simplify your answer. Type an ordered pair.) 18. Solve the given system of equations. If the system has no solution, say that it is inconsistent x-2y + 3z = 2x+ y+z Select the correct choice below and fill in any answer boxes within your choice 0 A. The solution is x= O B. There are infinitely many solutions. Using ordered triplets, they can be expressed as Type integers or simplified fractions) z any real number). {(x,y,z) | x= (Simplity your answers. Type expressions using z as the variable as needed) There are infinitely many solutions. Using ordered triplets, they can be expressed as {(x,y,z) | x= C. y any real number, z any real number) Simplify your answer. Type an expression using y and z as the variables as needed.) The system is inconsistent. 0 D.

Explanation / Answer

1) 3x +2y = -20

-x +y = 10

By substitution : x = y -10

3(y -10) + 2y = -20

3y -30 +2y = -20

5y = 10 ; y = 2

x = y -10 = 2 - 10 = -8

solution ( x , y) = ( -8 , 2)

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