Answer:
x= 25, y = 19
Step-by-step explanation:
Solve the following system:
{x = y + 6 | (equation 1)
9 y - 8 x = -29 | (equation 2)
Express the system in standard form:
{x - y = 6 | (equation 1)
-(8 x) + 9 y = -29 | (equation 2)
Swap equation 1 with equation 2:
{-(8 x) + 9 y = -29 | (equation 1)
x - y = 6 | (equation 2)
Add 1/8 × (equation 1) to equation 2:
{-(8 x) + 9 y = -29 | (equation 1)
0 x+y/8 = 19/8 | (equation 2)
Multiply equation 2 by 8:
{-(8 x) + 9 y = -29 | (equation 1)
0 x+y = 19 | (equation 2)
Subtract 9 × (equation 2) from equation 1:
{-(8 x)+0 y = -200 | (equation 1)
0 x+y = 19 | (equation 2)
Divide equation 1 by -8:
{x+0 y = 25 | (equation 1)
0 x+y = 19 | (equation 2)
Collect results:
Answer: {x = 25
, y = 19
