SOLUTION: solve the system of equations. let z be parameter
5x + 3y + 4z = 19
3x - y + z = -4
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Question 147934This question is from textbook
: solve the system of equations. let z be parameter
5x + 3y + 4z = 19
3x - y + z = -4
This question is from textbook
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
solve the system of equations. let z be parameter
5x + 3y + 4z = 19
3x - y + z = -4
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Rewrite:
5x + 3y= -4z + 19
3x - y = -z -4
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Multiply thru 2nd equation by 3 to get:
5x + 3y = -4z + 19
9x -3y = -3z - 12
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Add to eliminate the y-terms.
--------------------------
14x = -7z + 7
x = (-1/2)z + (1/2)
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Substitute that into 3x-y = -z-4 to solve for "y":
3[(-1/2)z + (1/2)] - y = -z-4
(-3/2)z + (3/2) +z + 4 = y
y = (-1/2)z + (11/2)
------------------------
Cheers,
Stan H.
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