Solve the system of equations. If the system has no solution, say that it is inconsistent.
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A)x = 2, y = 4; (2, 4)
B)x = 2, y = 3; (2, 3)
C)x = 4, y = 2; (4, 2)
D)inconsistent

Question

Solve the system of equations. If the system has no solution, say that it is inconsistent.
-
A)x = 2, y = 4; (2, 4) 
B)x = 2, y = 3; (2, 3) 
C)x = 4, y = 2; (4, 2) 
D)inconsistent

Quizplus · Accepted Answer

There is no solution to the system of equations, making it inconsistent. After simplification, we get:
x + 3y = 10
x + 3y = 12
Subtracting the two equations, we get:
0 = -2
This is impossible and hence the system has no solution. Therefore, the correct answer is D) inconsistent.

Solve the System of Equations