Answer:
Option A
Step-by-step explanation:
–5x – 9y = 28 Equation 1
–4x + 5y = –2 Equation 2
We to eliminate one of the variables. In this case "Y" by using the appropiate number, in this case [tex]\frac{9}{5}[/tex]
–5x – 9y = 28
[tex]\frac{9}{5}[/tex]*{–4x + 5y = –2
We have:
–5x – 9y = 28
[tex]\frac{-36}{5}X +9Y=-\frac{18}{5}[/tex]
We have:
–5x = 28
[tex]\frac{-36}{5}X =-\frac{18}{5}[/tex]
So, We have:
[tex]\frac{-36}{5}X -5X=-\frac{18}{5}+28[/tex]
-61X= 122
[tex]X=-\frac{122}{61}=-2[/tex]
Using Equation 2. We have:
-4*(-2)+5Y=-2
8+5Y=-2
5Y=-10
Y=[tex]\frac{-10}{5} =-2[/tex]
Finally:
X=-2
Y=-2
