Answer:
{x = 7 , y = -4
Step-by-step explanation:
Solve the following system:
{3 x + 2 y = 13 | (equation 1)
{x + 2 y = -1 | (equation 2)
Subtract 1/3 × (equation 1) from equation 2:
{3 x + 2 y = 13 | (equation 1)
{0 x+(4 y)/3 = (-16)/3 | (equation 2)
Multiply equation 2 by 3/4:
{3 x + 2 y = 13 | (equation 1)
{0 x+y = -4 | (equation 2)
Subtract 2 × (equation 2) from equation 1:
{3 x+0 y = 21 | (equation 1)
{0 x+y = -4 | (equation 2)
Divide equation 1 by 3:
{x+0 y = 7 | (equation 1)
{0 x+y = -4 | (equation 2)
Collect results:
Answer: {x = 7 , y = -4
