-7x+8y=56, -89x-4y=776
Solve the following system:
{8 y-7 x = 56 | (equation 1)
-89 x-4 y = 776 | (equation 2)
Swap equation 1 with equation 2:
{-(89 x)-4 y = 776 | (equation 1)
-(7 x)+8 y = 56 | (equation 2)
Subtract 7/89 × (equation 1) from equation 2:
{-(89 x)-4 y = 776 | (equation 1)
0 x+(740 y)/89 = -448/89 | (equation 2)
Multiply equation 2 by 89/4:
{-(89 x)-4 y = 776 | (equation 1)
0 x+185 y = -112 | (equation 2)
Divide equation 2 by 185:
{-(89 x)-4 y = 776 | (equation 1)
0 x+y = -112/185 | (equation 2)
Add 4 × (equation 2) to equation 1:
{-(89 x)+0 y = 143112/185 | (equation 1)
0 x+y = -112/185 | (equation 2)
Divide equation 1 by -89:
{x+0 y = -1608/185 | (equation 1)
0 x+y = -112/185 | (equation 2)
Collect results:
Answer: |
| {x = -1608/185
y = -112/185
