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y(t)=[cos(3t)]*x(t)

x1(t) -> y1(t)=[cos(3t)]*x1(t)

x2(t) -> y2(t)=[cos(3t)]*x2(t)

x3(t) = a*x1(t)+b*x2(t)

x3(t) -> y3(t)=[cos(3t)]*x3(t)=[cos(3t)]*(a*x1(t)+b*x2(t))=

=[cos(3t)]*(a*[cos(3t)]*x1(t)+b*[cos(3t)]*x2(t))

y3(t) not equal a*y1(t)+b*y2(t) but the answers in the book said that

the system is linear? why? am i wrong or there's a mistake in the book?