Answer:
x = -4
, y = -6
Step-by-step explanation:
Solve the following system:
{y = -5 x - 26 | (equation 1)
5 y = 3 x - 18 | (equation 2)
Express the system in standard form:
{5 x + y = -26 | (equation 1)
-(3 x) + 5 y = -18 | (equation 2)
Add 3/5 × (equation 1) to equation 2:
{5 x + y = -26 | (equation 1)
0 x+(28 y)/5 = (-168)/5 | (equation 2)
Multiply equation 2 by 5/28:
{5 x + y = -26 | (equation 1)
0 x+y = -6 | (equation 2)
Subtract equation 2 from equation 1:
{5 x+0 y = -20 | (equation 1)
0 x+y = -6 | (equation 2)
Divide equation 1 by 5:
{x+0 y = -4 | (equation 1)
0 x+y = -6 | (equation 2)
Collect results:
Answer: {x = -4
, y = -6
