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:
B:
From the second equation:
Substitute it into the first equation:
add all the areas and n square units together i.e (23.85+29.4+26.25) in s.u.
Solve the following system:
{x + 7 y = 0 | (equation 1)
{2 x - 8 y = 20 | (equation 2)
Swap equation 1 with equation 2:
{2 x - 8 y = 20 | (equation 1)
{x + 7 y = 0 | (equation 2)
Subtract 1/2 × (equation 1) from equation 2:
{2 x - 8 y = 20 | (equation 1)
{0 x+11 y = -10 | (equation 2)
Divide equation 1 by 2:
{x - 4 y = 10 | (equation 1)
{0 x+11 y = -10 | (equation 2)
Divide equation 2 by 11:
{x - 4 y = 10 | (equation 1)
{0 x+y = (-10)/11 | (equation 2)
Add 4 × (equation 2) to equation 1:
{x+0 y = 70/11 | (equation 1)
{0 x+y = -10/11 | (equation 2)
Collect results:
Answer: {x = 70/11
{y = -10/11