The planes defined, respectively, by the equations x - y – z = 1 and 2x + y + z = 2 intersect in a line. Which of the following is a set of symmetric equations for that line? Hint: Please keep in mind that a given line has more than one set of symmetric equations that describe it. If you are unsure because the symmetric equations you found look differently from all answer options, try applying equivalence transformations to your equations so that the term involving the variable z becomes equal to z, then compare again. x = 1, y +1 = z x = 1, -y +1 = z x = 1, -y = % O None of these. x = 1, y = %
The planes defined, respectively, by the equations x - y – z = 1 and 2x + y + z = 2 intersect in a line. Which of the following is a set of symmetric equations for that line? Hint: Please keep in mind that a given line has more than one set of symmetric equations that describe it. If you are unsure because the symmetric equations you found look differently from all answer options, try applying equivalence transformations to your equations so that the term involving the variable z becomes equal to z, then compare again. x = 1, y +1 = z x = 1, -y +1 = z x = 1, -y = % O None of these. x = 1, y = %
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter9: Quadratic Functions And Equations
Section9.7: Solving Systems Of Linear And Quadratic Equations
Problem 21PPS
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Transcribed Image Text:The planes defined, respectively, by the equations
x – y – z = 1
and
2x + y + z = 2
intersect in a line. Which of the following is a set of symmetric equations for that
line?
Hint: Please keep in mind that a given line has more than one set of symmetric
equations that describe it. If you are unsure because the symmetric equations you
found look differently from all answer options, try applying equivalence
transformations to your equations so that the term involving the variable z becomes
equal to z, then compare again.
x = 1, y +1 = z
x = 1, -y+1= z
x = 1, -y = %
None of these.
x = 1, y = z
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