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The lines 2x + 3y = 5 and kx + 6y = 8 meet at exactly… | StemPy Lab
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The lines 2x + 3y = 5 and kx + 6y = 8 meet at exactly one point. Which values of k are possible?
Mathematics
Medium
High School (9–10)
General
Algebra › Pairs of Linear Equations
Board Exam
SAT
Created by
StemPy Lab
The lines
2
x
+
3
y
=
5
2x + 3y = 5
2
x
+
3
y
=
5
and
k
x
+
6
y
=
8
kx + 6y = 8
k
x
+
6
y
=
8
meet at exactly one point. Which values of
k
k
k
are possible?
k
=
4
k = 4
k
=
4
k
=
2
k = 2
k
=
2
k
≠
4
k \neq 4
k
=
4
k
≠
2
k \neq 2
k
=
2
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← Assertion (A): The pair x + y = 3 and 2x + 2y = 7 is inconsistent. Reason (R): Parallel lines have no point in common. Which is correct?
Two lines have the equations y = 3x + 2 and y = 3x - 5. What can be said about this pair? →
More on
Algebra › Pairs of Linear Equations
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