Answer:
x = 2 , y = -2
Step-by-step explanation:
Solve the following system:
{5 x - y = 12 | (equation 1)
3 x + y = 4 | (equation 2)
Subtract 3/5 × (equation 1) from equation 2:
{5 x - y = 12 | (equation 1)
0 x+(8 y)/5 = (-16)/5 | (equation 2)
Multiply equation 2 by 5/8:
{5 x - y = 12 | (equation 1)
0 x+y = -2 | (equation 2)
Add equation 2 to equation 1:
{5 x+0 y = 10 | (equation 1)
0 x+y = -2 | (equation 2)
Divide equation 1 by 5:
{x+0 y = 2 | (equation 1)
0 x+y = -2 | (equation 2)
Collect results:
Answer: {x = 2 , y = -2