One can also use the laplace transform to solve a system of differential equations. take the transform of both equation, then solve for both x(s) and y (s) algebraically. to finish, find the inverse laplace transform of both. use this idea to find the solution to the following system: x' = 5x − 3yy' = 3x − 5yx(0) = 1, y(0) = 1

The solution of the system of linear equations is b. (2,-3) because the solution is the poi (point of intersection)

If that's an answer

1.   an exact solution requires a radical solution - no decimal approximation.2. (a)4x^3 = 756x^3 = 756/4 = 189x =   cube root of 189 =   5.74   to nearest hundredth answer(b)   189 = 3*3*3*7   so we can write the cube root of 189 as 3∛7 answerchecking (a) 4*(5.74^3 =   756.48   which is very close(b)   4* ((3∛3)^3   = 4*189   = 756   - spot on! 3. i would use solution b because the original question asked for an exact solution.