Answer:
x = 5
, y = 0
Step-by-step explanation by elimination:
Solve the following system:
{-6 x - 8 y = -30 | (equation 1)
4 x + 2 y = 20 | (equation 2)
Add 2/3 × (equation 1) to equation 2:
{-(6 x) - 8 y = -30 | (equation 1)
0 x - (10 y)/3 = 0 | (equation 2)
Divide equation 1 by -2:
{3 x + 4 y = 15 | (equation 1)
0 x - (10 y)/3 = 0 | (equation 2)
Multiply equation 2 by 3/10:
{3 x + 4 y = 15 | (equation 1)
0 x - y = 0 | (equation 2)
Multiply equation 2 by -1:
{3 x + 4 y = 15 | (equation 1)
0 x+y = 0 | (equation 2)
Subtract 4 × (equation 2) from equation 1:
{3 x+0 y = 15 | (equation 1)
0 x+y = 0 | (equation 2)
Divide equation 1 by 3:
{x+0 y = 5 | (equation 1)
0 x+y = 0 | (equation 2)
Collect results:
Answer: {x = 5
, y = 0
