2007
Mathematics
67ca00ce0c643c71d77dee1f
If the lines 2y - kx + 2 = 0 and y + x - k/2 = 0 Intersect at (1, -2), find the value of k
A.
-4
B.
-3
C.
-2
D.
-1
Correct Answer: -2
Explanation
If the point of intersection is (1, -2), it implies that x = 1 and y = -2 when the two equation are solved simultaneously. ∴ substitute x = 1 and y = -2 in any of the equations 2y - k x + 2 = 0 2(-2) - k(1) + 2 = 0 -4 - k + 2 = 0 -4 + 2 = k -2 = k
If the point of intersection is (1, -2), it implies that x = 1 and y = -2 when the two equation are solved simultaneously. ∴ substitute x = 1 and y = -2 in any of the equations 2y - k x + 2 = 0 2(-2) - k(1) + 2 = 0 -4 - k + 2 = 0 -4 + 2 = k -2 = kTHIS WEEK's
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