SOLUTION: A student is solving the system of equations below. In which line is a mistake first made?
2x + y - 2z = 23
3x + 2y + z = 11
x - y + z = -2
Line 1 z = 11 + 3x + 2y
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Question 1023386: A student is solving the system of equations below. In which line is a mistake first made?
2x + y - 2z = 23
3x + 2y + z = 11
x - y + z = -2
Line 1 z = 11 + 3x + 2y
Line 2 2x + y - 2(11 + 3x + 2y) = 23
Line 3 -4x - 3y = 45
Line 4 x - y + (11 + 3x + 2y) = - 2
Line 5 4x + y = - 13
Line 6 -2y = 32
Line 7 y = 16, x = ¾, z = -11/4
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A) Line 1
B) Line 3
C) Line 5
D) Line 6
Found 2 solutions by ikleyn, fractalier:
Answer by ikleyn(52796) (Show Source): You can put this solution on YOUR website!
.
First mistake is in Line 1.
Answer by fractalier(6550) (Show Source): You can put this solution on YOUR website!
I'm thinking the first mistake is in line 1. If you solve the second equation for z, you should get
z = 11 - 3x - 2y
Choice A.
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