Answer:
x = -3 , y = -6
Step-by-step explanation:
Solve the following system:
{4 x - 3 y = 6 | (equation 1)
{x + 2 y = -15 | (equation 2)
Subtract 1/4 × (equation 1) from equation 2:
{4 x - 3 y = 6 | (equation 1)
{0 x+(11 y)/4 = (-33)/2 | (equation 2)
Multiply equation 2 by 4/11:
{4 x - 3 y = 6 | (equation 1)
{0 x+y = -6 | (equation 2)
Add 3 × (equation 2) to equation 1:
{4 x+0 y = -12 | (equation 1)
{0 x+y = -6 | (equation 2)
Divide equation 1 by 4:
{x+0 y = -3 | (equation 1)
{0 x+y = -6 | (equation 2)
Collect results:
Answer: {x = -3 , y = -6