Answer:
{x = 7 ,y = 5
Explanation:
Solve the following system:
{3 x + 3 y = 36 | (equation 1)
8 x - 5 y = 31 | (equation 2)
Swap equation 1 with equation 2:
{8 x - 5 y = 31 | (equation 1)
3 x + 3 y = 36 | (equation 2)
Subtract 3/8 × (equation 1) from equation 2:
{8 x - 5 y = 31 | (equation 1)
0 x+(39 y)/8 = 195/8 | (equation 2)
Multiply equation 2 by 8/39:
{8 x - 5 y = 31 | (equation 1)
0 x+y = 5 | (equation 2)
Add 5 × (equation 2) to equation 1:
{8 x+0 y = 56 | (equation 1)
0 x+y = 5 | (equation 2)
Divide equation 1 by 8:
{x+0 y = 7 | (equation 1)
0 x+y = 5 | (equation 2)
Collect results:
Answer: {x = 7 ,y = 5