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vova2212 [387]
3 years ago
9

The lines (m-2)x+y=2 and mx+2y=k intersect at (2,8). Find the values of m and k

Mathematics
1 answer:
Lerok [7]3 years ago
4 0

Step-by-step explanation:

(m - 2)x + y = 2

y = -(m - 2)x + 2

8 = -(m - 2)(2) + 2

6 = -(m - 2)(2)

3 = -(m - 2)

-3 = m - 2

-1 = m

mx + 2y = k

2y = -mx + k

y =  -  \frac{1}{2} mx +  \frac{k}{2}  \\ y =  \frac{1}{2} x +  \frac{k}{2}  \\ 8 =  \frac{1}{2} (2) +  \frac{k}{2}  \\ 7 =  \frac{k}{2}  \\ 14 = k

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