Question

X 1 + x 2 + 2x 3 −x 4 =4

3x 2 −x 3 +4x 4 =2
x 1 +2x 2 −3x 3 +5x 4 =0
x 1 +x 2 −5x 3 +6x 4 =−3
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Answer 1

To solve the system of linear equations, we can use the method of elimination. By eliminating one variable at a time, we can reduce the system to one equation that can be solved to find the values of the variables.

Step-by-step explanation:

The given problem consists of a system of linear equations. To solve this system, we can use the method of elimination. First, we can eliminate x1 from the second equation by multiplying the first equation by 3 and subtracting it from the second equation. Next, we can eliminate x1 from the third and fourth equations in a similar way. Once we have eliminated x1, we can continue eliminating variables until we have a reduced system with only one variable. We can then solve for that variable and substitute its value back into the other equations to find the values of the remaining variables.

Learn more about Solving systems of linear equations