Answer:
x = 5/6 , y = 8/5
Explanation:
Solve the following system:
{12 x + 15 y = 34 | (equation 1)
{5 y - 6 x = 3 | (equation 2)
Add 1/2 × (equation 1) to equation 2:
{12 x + 15 y = 34 | (equation 1)
{0 x+(25 y)/2 = 20 | (equation 2)
Multiply equation 2 by 2/5:
{12 x + 15 y = 34 | (equation 1)
{0 x+5 y = 8 | (equation 2)
Divide equation 2 by 5:
{12 x + 15 y = 34 | (equation 1)
{0 x+y = 8/5 | (equation 2)
Subtract 15 × (equation 2) from equation 1:
{12 x+0 y = 10 | (equation 1)
{0 x+y = 8/5 | (equation 2)
Divide equation 1 by 12:
{x+0 y = 5/6 | (equation 1)
{0 x+y = 8/5 | (equation 2)
Collect results:
Answer: {x = 5/6 , y = 8/5