Answer:
x = 0 , y = 2
Explanation:
Solve the following system: 
{6 x - 5 y = -10 | (equation 1) 
4 x + 3 y = 6 | (equation 2) 
 
Subtract 2/3 × (equation 1) from equation 2: 
{6 x - 5 y = -10 | (equation 1) 
0 x+(19 y)/3 = 38/3 | (equation 2) 
 
Multiply equation 2 by 3/19: 
{6 x - 5 y = -10 | (equation 1) 
0 x+y = 2 | (equation 2) 
 
Add 5 × (equation 2) to equation 1: 
{6 x+0 y = 0 | (equation 1) 
0 x+y = 2 | (equation 2) 
 
Divide equation 1 by 6: 
{x+0 y = 0 | (equation 1) 
0 x+y = 2 | (equation 2) 
 
Collect results: 
Answer: {x = 0 , y = 2