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Mathematics
Taylor Preston
14 December, 20:46
5x + 6y = 18 and 18x - 15y = 36
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Elijah Watts
14 December, 22:11
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5x+6y=18
5x=18-6y
x = (18-6y) / 5
Use that in the other equation
18 (18-6y) / 5 - 15y = 36
64.8-21.6y - 15y = 36
28.8=36.6y
.7868=y
Now put that number in for y on the first equation
5x+6 (.78) = 18
5x + 4.68 = 18
5x = 13.32
x = 2.66
and y =.78
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Sabrina Wilkinson
14 December, 22:13
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Solution : {x, y, z} = {-3,-2,-1} System of Linear Equations entered : [1] x + 6y + 3z = - 18 [2] - x + 6y - 3z = - 6 [3] 5x - 6y + 3z = - 6 Solve by Substitution:
/ / Solve equation [1] for the variable x
[1] x = - 6y - 3z - 18
/ / Plug this in for variable x in equation [2]
[2] - (-6y-3z-18) + 6y - 3z = - 6 [2] 12y = - 24
/ / Plug this in for variable x in equation [3]
[3] 5• (-6y-3z-18) - 6y + 3z = - 6 [3] - 36y - 12z = 84
/ / Solve equation [2] for the variable y
[2] 12y = - 24 [2] y = - 2
/ / Plug this in for variable y in equation [3]
[3] - 36• (-2) - 12z = 84 [3] - 12z = 12
/ / Solve equation [3] for the variable z
[3] 12z = - 12 [3] z = - 1
/ / By now we know this much:
x = - 6y-3z-18 y = - 2 z = - 1
/ / Use the y and z values to solve for x
x = - 6 (-2) - 3 (-1) - 18 = - 3
Solution : {x, y, z} = {-3,-2,-1} Processing ends successfully
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