Question

{x + 8y = -16
{x-3y = -5

Answer 1

Answer: x = -8 and y = -1

Step-by-Step Solution:

=> x + 8y = -16 (Eq. 1)
=> x - 3y = -5 (Eq. 2)

Subtracting Eq. 2 from 1, we get :-

8y + 3y = -16 + 5
11y = -11
y = -11/11
=> y = -1

Therefore, y = -1

Substitute value of ‘y’ in Eq. 2 :-

x - 3y = -5
x - 3(-1) = -5
x - -3 = -5
x + 3 = -5
x = -5 - 3
x = -5 + -3
=> x = -8

Therefore, x = -8

Hence, x = -8 and y = -1 (-8, -1)

Answer 2

Answer: y= -1 and x=-8

x+8y=-16

x=-8y-16

so x-3y=-5

-8-16-3y=-5

-11y-16=-5

-11y=-5+16

-11y=11

y=-1

x-3y=-5

x+3=-5

x=-8