Find values of a, b, and c (if possible) such that the system of linear equations has a unique solution, no solution, and infinitely many solutions. (if not possible, enter impossible.) x + y = 4 y + z = 4 x + z = 4 ax + by + cz = 0

IMPOSSIBLE

Step-by-step explanation:

First we set the equation system:

Now we set the matrix in order to have a solution for the system:

Now we are going to apply Gauss-Jordan to find the solution of the system in terms of a, b and c:

Next step:

Next step:

Next step:

With this solution, we have a new equation system:

This system can be solved by Cramer's rule, by finding the matrix determinant:

As the determinant is zero, we can say that the second system is imposible to solve.

what golf ball

step-by-step explanation:

first, we define the variables:

x: number of years after 1950

f (x): amount of vinyl sold.

then, with the variables defined, we have:

68594 vinyl records were sold in 1958 > f (8) = 68594

91299 vinyl records were sold in 1961 > f (11) = 91299

38720 vinyl records were sold in 1952 > f (2) = 38720

161743 vinyl records were sold in 1967 > f (17) = 161743

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step-by-step explanation: