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Please help me for all problems 1, 2, 3, 4, 5

1. (Three points.) Convert this system to upper triangular form and solve by back-substitution. 4x+7y + 5z 13 -2y + 2z-6 2. (Three points.) Convert this system to upper triangular form and solve by back-substitution. 4x-5y +z=-13 2x -y-3z5 3. (Four points.) Find the value a that will make the matrix of coefficients for this system singular and the value b that will give the system infinitely many solutions with that value for a. Then find the solution with z 1 with those values for a and b. 4. (Four points.) Convert this system to upper triangular form and solve by back-substfitution. 2x1 + x2 x2 + 2x3 +x4-0 x3 + 2x45 5. (Two points.) For which two values of c will elimination fail with the matrix of coefficients a
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