Question

Y=-5x – 26 5y = 3x – 18

Answer 1

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