Why am I struggling here?

[WartanThamar]

"I find myself still struggling with solving systems of equations. Could you explain some common mistakes or misconceptions that might be causing my difficulties? Are there any specific techniques or steps I should follow to improve my understanding and problem-solving skills in this area?"

[Jerry]

Practice makes perfect!

I greet You

[janusz55]

It is difficult for me to say what mistakes you make when solving systems of linear equations.
For small systems of equations, the universal method is the substitution method.
For linear equations: the method of opposite coefficients, Gaussian, Gauss-Jordan and iterative methods: Jacobi method, Seidel method.
For numerical methods include: bisection method, falsi rule and secant methods.
For systems of non-linear equations - Newton's method.