Answer:
One solution -> x = 35
, y = -25
Step-by-step explanation:
Solve the following system:
{14 x + 7 y = 315 | (equation 1)
16 x - 2 y = 610 | (equation 2)
Swap equation 1 with equation 2:
{16 x - 2 y = 610 | (equation 1)
14 x + 7 y = 315 | (equation 2)
Subtract 7/8 × (equation 1) from equation 2:
{16 x - 2 y = 610 | (equation 1)
0 x+(35 y)/4 = (-875)/4 | (equation 2)
Divide equation 1 by 2:
{8 x - y = 305 | (equation 1)
0 x+(35 y)/4 = -875/4 | (equation 2)
Multiply equation 2 by 4/35:
{8 x - y = 305 | (equation 1)
0 x+y = -25 | (equation 2)
Add equation 2 to equation 1:
{8 x+0 y = 280 | (equation 1)
0 x+y = -25 | (equation 2)
Divide equation 1 by 8:
{x+0 y = 35 | (equation 1)
0 x+y = -25 | (equation 2)
Collect results:
Answer: x = 35
, y = -25
