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Solving a System of Four Equations

1. Solve this system of equations. Put your answer in alphabetical order.
5w+3x-y-z=-2
w+x+y+z=2
2W-x+y+4z=0
3w+2x+3y+2z=1

2. If x varies directly as 2y-1, and x=9 when y=2, find the value of y when x has a value of 15.

Solution Preview

Below is the text part of the solution. Equations will not appear properly here. Please refer to the attached file for a complete solution.

1. Solve this system of equations. Put your answer in alphabetical order.

5w + 3x -y -z = -2 ------------(1)

w + x + y + z = 2 ------------(2)

2W - x + y + 4z = 0 ------------(3)

3w+ 2x + 3y + 2z = 1 ------------(4)

Lets add equation 1 and 2. When we add two equations, you add the left sides and write it down in the left of the "=" and add the right side and put the answer in the right side of the "=" sign. We can also subtract equation like this. We do this to eliminate certain variables from the ...

Solution Summary

Two high school algebra questions are answered. Very clear and step-by-step solution is provided in a 3-page word document.

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