Answer:
x = 2/51 , y = 104/51
Step-by-step explanation:
Solve the following system:
{53 x - 2 y = -2 | (equation 1)
y - x = 2 | (equation 2)
Add 1/53 × (equation 1) to equation 2:
{53 x - 2 y = -2 | (equation 1)
0 x+(51 y)/53 = 104/53 | (equation 2)
Multiply equation 2 by 53:
{53 x - 2 y = -2 | (equation 1)
0 x+51 y = 104 | (equation 2)
Divide equation 2 by 51:
{53 x - 2 y = -2 | (equation 1)
0 x+y = 104/51 | (equation 2)
Add 2 × (equation 2) to equation 1:
{53 x+0 y = 106/51 | (equation 1)
0 x+y = 104/51 | (equation 2)
Divide equation 1 by 53:
{x+0 y = 2/51 | (equation 1)
0 x+y = 104/51 | (equation 2)
Collect results:
Answer: x = 2/51 , y = 104/51
