Question

Find the solution(s) of the following system of equations: 2x1 - 6x3 = 2.

Answer 1

To solve the system of equations 2x1 - 6x3 = 2, we can use the method of substitution.

Step-by-step explanation:

A system of equations is a collection of two or more equations involving the same set of variables. The solution to the system is the set of values for the variables that satisfies all the equations simultaneously.

To find the solution(s) of the system of equations 2x1 - 6x3 = 2, we can use the method of substitution.

1. Solve the second equation for x3: x3 = (2x1 - 2)/6.
2. Substitute this value for x3 in the first equation: 2x1 - 6((2x1 - 2)/6) = 2.
3. Simplify and solve for x1: 2x1 - (2x1 - 2) = 2.
4. x1 - 2 = 2.
5. x1 = 4.

So the solution to the system of equations is x1 = 4.