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snow_tiger [21]
3 years ago
9

Solve the system using the addition method.

Mathematics
1 answer:
GalinKa [24]3 years ago
6 0

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 \frac{9}{5}

–5x – 9y = 28

\frac{9}{5}*{–4x + 5y = –2  

We have:

–5x – 9y = 28

\frac{-36}{5}X +9Y=-\frac{18}{5}

We have:

–5x = 28

\frac{-36}{5}X =-\frac{18}{5}

So, We have:

\frac{-36}{5}X -5X=-\frac{18}{5}+28

-61X= 122

X=-\frac{122}{61}=-2

Using Equation 2. We have:

-4*(-2)+5Y=-2

8+5Y=-2

5Y=-10

Y=\frac{-10}{5} =-2

Finally:

X=-2

Y=-2

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