To solve the given system of equations using matrices, convert the system into matrix form and solve using matrix operations.
To solve the given system of equations using matrices, we can convert the system into matrix form:
[3 8; -2 10] * [x; y] = [35; -8]
Then, we can use matrix operations to solve for the variables. Multiply the coefficient matrix by the variable matrix:
[3x + 8y; -2x + 10y] = [35; -8]
This gives us the following system of equations: 3x + 8y = 35 and -2x + 10y = -8. We can solve this system using matrix methods such as Gaussian elimination or matrix inverse.