Answer:
{x = 8
, y = 1
Step-by-step explanation:
Solve the following system:
{2 x + 4 y = 20 | (equation 1)
{3 x + 2 y = 26 | (equation 2)
Swap equation 1 with equation 2:
{3 x + 2 y = 26 | (equation 1)
{2 x + 4 y = 20 | (equation 2)
Subtract 2/3 × (equation 1) from equation 2:
{3 x + 2 y = 26 | (equation 1)
{0 x+(8 y)/3 = 8/3 | (equation 2)
Multiply equation 2 by 3/8:
{3 x + 2 y = 26 | (equation 1)
{0 x+y = 1 | (equation 2)
Subtract 2 × (equation 2) from equation 1:
{3 x+0 y = 24 | (equation 1)
{0 x+y = 1 | (equation 2)
Divide equation 1 by 3:
{x+0 y = 8 | (equation 1)
{0 x+y = 1 | (equation 2)
Collect results:
Answer: {x = 8
, y = 1
