If A ( 3, 5) and B (1, 4) lie on the graph of the line mx+cy = 7, find m and c

Mathematics

1 answer:

Diano4ka-milaya [45]3 years ago

3 0

Answer:

m = -1, c = 2

Step-by-step explanation:

if A ( 3, 5) and B (1, 4) lie on the graph of the line mx + cy = 7, then their coordinates satisfy the equation of the line:

A: $3m+5c=7$

B: $m+4c=7$

From the second equation:

$m=7-4c$

Substitute it into the first equation:

$3(7-4c)+5c=7\\ \\21-12c+5c=7\\ \\-12c+5c=7-21\\ \\-7c=-14\\ \\c=2\\ \\m=7-4\cdot 2=7-8=-1$

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