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algebra intermediate

Problem

The solution of the equations

2 x - 3 y 4 x - 6 y = 7 = 20

is:

(A)

x = 18 y = 12

(B)

x = 0 y = 0

(C)

T h er e i s n oso l u t i o n

(D)

T h er e a r e an u n l imi t e d n u mb er o f so l u t i o n s

Solution

2 x - 3 y = 7 ⟹ 4 x - 6 y = 14

Then

4 x - 6 y = 14 = 20

, which is false, so there are no solutions;

There is no solution

Final answer

C