Solve the following system:
{y = 5 x + 16 | (equation 1)
4 y - 2 x = -10 | (equation 2)
Express the system in standard form:
{-(5 x) + y = 16 | (equation 1)
-(2 x) + 4 y = -10 | (equation 2)
Subtract 2/5 × (equation 1) from equation 2:
{-(5 x) + y = 16 | (equation 1)
0 x+(18 y)/5 = (-82)/5 | (equation 2)
Multiply equation 2 by 5/2:
{-(5 x) + y = 16 | (equation 1)
0 x+9 y = -41 | (equation 2)
Divide equation 2 by 9:
{-(5 x) + y = 16 | (equation 1)
0 x+y = (-41)/9 | (equation 2)
Subtract equation 2 from equation 1:
{-(5 x)+0 y = 185/9 | (equation 1)
0 x+y = -41/9 | (equation 2)
Divide equation 1 by -5:
{x+0 y = (-37)/9 | (equation 1)
0 x+y = -41/9 | (equation 2)
x = -37/9 and y = -41/9
