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I need help with stepbystep solutions for Algebra equations.
I need answers to these eight collegelevel algebra questions:

Solve the system of linear equations: 2x  3y = 5 and 4x + y = 2.

Given the quadratic equation 3x^2  5x + 2 = 0, find the roots using the quadratic formula.

If f(x) = x^2  3x + 2, find the value of f(4) and interpret its meaning.

Prove that the sum of the cubes of any three consecutive integers is divisible by 9.

Evaluate the determinant of the matrix [[2, 3, 4], [1, 1, 2], [3, 2, 5]].

If g(x) = 3x^3  2x^2 + x  1, find the derivative g'(x) and interpret its meaning.

Given the function h(x) = sqrt(x  2) + 3, find the domain and range of h(x).

Find the inverse of the function f(x) = 2x^3 + 3x^2  5x + 1.
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