Answer:
x = -25/29 , y = 22/29
Explanation:
Solve the following system:
{2 x - 3 y = -4 | (equation 1)
5 x + 7 y = 1 | (equation 2)
Swap equation 1 with equation 2:
{5 x + 7 y = 1 | (equation 1)
2 x - 3 y = -4 | (equation 2)
Subtract 2/5 × (equation 1) from equation 2:
{5 x + 7 y = 1 | (equation 1)
0 x - (29 y)/5 = (-22)/5 | (equation 2)
Multiply equation 2 by -5:
{5 x + 7 y = 1 | (equation 1)
0 x+29 y = 22 | (equation 2)
Divide equation 2 by 29:
{5 x + 7 y = 1 | (equation 1)
0 x+y = 22/29 | (equation 2)
Subtract 7 × (equation 2) from equation 1:
{5 x+0 y = (-125)/29 | (equation 1)
0 x+y = 22/29 | (equation 2)
Divide equation 1 by 5:
{x+0 y = (-25)/29 | (equation 1)
0 x+y = 22/29 | (equation 2)
Collect results:
Answer: {x = -25/29 , y = 22/29