Answer to Question #306691 in Linear Algebra for Nhlonipho Manganyi

Question

Consider the linear equation 2a + 3b = 4

Is (a; b) = (1; 1

2

) a solution to the equation? Motivate your answer.

Answer 1

the pair (1,1) is not a solution, since the substitution does not give the correct identity, 2*1+3*1=4

the pair (1,2) is not a solution, since the substitution does not give the correct identity, 2*1+3*2=4