Answer:
x = 1
, y = 4
Step-by-step explanation:
Solve the following system:
{5 x + y = 9 | (equation 1)
10 x - 7 y = -18 | (equation 2)
Swap equation 1 with equation 2:
{10 x - 7 y = -18 | (equation 1)
5 x + y = 9 | (equation 2)
Subtract 1/2 × (equation 1) from equation 2:
{10 x - 7 y = -18 | (equation 1)
0 x+(9 y)/2 = 18 | (equation 2)
Multiply equation 2 by 2/9:
{10 x - 7 y = -18 | (equation 1)
0 x+y = 4 | (equation 2)
Add 7 × (equation 2) to equation 1:
{10 x+0 y = 10 | (equation 1)
0 x+y = 4 | (equation 2)
Divide equation 1 by 10:
{x+0 y = 1 | (equation 1)
0 x+y = 4 | (equation 2)
Collect results:
Answer: {x = 1
, y = 4
