ANSWERS: 2
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10 x - 7 y + 3 z + 5 u = 6 -6 x + 8 y - z - 4 u = 5 3 x + y + 4 z + 11 u = 2 5 x - 9 y - 2 z + 4 u = 7 Gaussian elimination: Solve one equation for one variable, then substitute the solution in the other equations. The first equation can tell you what 10 x is in terms of the other variables. Multiply the other three equations by 10. The second equations starts -60 x + 80y - ... Add six times the first equation and the x will disappear. Repeat the same method on the third and fourth equations: Subtract 3 times the first from the third, and 5 times the first from the fourth. and you end up with three equations in y,z and u. Start the whole process again and you will find u which you can then use to find z, then y, then x.
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2x-4y=38 5x+7y=-7
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