Solve the following system:
{2 + 4 x + 8 y = -8 + 7 x + 7 y | (equation 1)
-6 + 11 x + 15 y = 180 | (equation 2)
Express the system in standard form:
{-(3 x) + y = -10 | (equation 1)
11 x + 15 y = 186 | (equation 2)
Swap equation 1 with equation 2:
{11 x + 15 y = 186 | (equation 1)
-(3 x) + y = -10 | (equation 2)
Add 3/11 × (equation 1) to equation 2:
{11 x + 15 y = 186 | (equation 1)
0 x+(56 y)/11 = 448/11 | (equation 2)
Multiply equation 2 by 11/56:
{11 x + 15 y = 186 | (equation 1)
0 x+y = 8 | (equation 2)
Subtract 15 × (equation 2) from equation 1:
{11 x+0 y = 66 | (equation 1)
0 x+y = 8 | (equation 2)
Divide equation 1 by 11:
{x+0 y = 6 | (equation 1)
0 x+y = 8 | (equation 2)
x = 6 and y = 8
