Can anyone show me how to solve this linear system ?
- Thread starter Lindsey
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Dr.Peterson
Elite Member
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- Nov 12, 2017
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Let's rename the variables as x, y, z, so it looks more familiar:
Since there are too many equations for the number of variables, they tell you to drop the third equation (it could have been any of them) and solve the system
There are many ways to solve this system, either by substitution or addition or matrices; I'd like to help you solve it in a way that feels natural for you, so please at least make an attempt so I can see what to help you with.
One thing that might help you is to multiply the first two equations by 100 to eliminate decimals; integer coefficients can be a little easier to work with.
When you finish solving, you should check whether your solution also satisfies the equation you dropped; they should have said that.
x = 0.90x + 0.02y + 0.02z
y = 0.07x + 0.82y + 0.12z
z = 0.03x + 0.16y + 0.68z
x + y + z = 1
Since there are too many equations for the number of variables, they tell you to drop the third equation (it could have been any of them) and solve the system
x = 0.90x + 0.02y + 0.02z
y = 0.07x + 0.82y + 0.12z
x + y + z = 1
There are many ways to solve this system, either by substitution or addition or matrices; I'd like to help you solve it in a way that feels natural for you, so please at least make an attempt so I can see what to help you with.
One thing that might help you is to multiply the first two equations by 100 to eliminate decimals; integer coefficients can be a little easier to work with.
When you finish solving, you should check whether your solution also satisfies the equation you dropped; they should have said that.