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adell [148]
3 years ago
7

X + y = 2

Mathematics
1 answer:
liraira [26]3 years ago
8 0

Answer:

D. (3,-1)

Step-by-step explanation:

x + y = 2  \:  \:  \:  \:  \:  \: ..(1) \\ 2x - y = 7 \:  \:  \:  \: ..(2)

from equation 1 we get,

x = 2 - y

now,

put \:  \:  \:  \: x = 2 - y \:  \:  \: in \: (2)

we get,

2(2 - y) - y = 7 \\ 4 - 2y - y = 7 \\ 4 - 3y = 7 \\  - 3y = 7 - 4 \\  - 3y = 3  \\  \\ y =  \frac{3}{( - 3)}  \\  \\ y =  - 1

now,

put \:  \:  \:  \: y =  - 1 \:  \:  \:  \: in \: (1)

we get,

x + ( - 1) = 2 \\ x - 1 = 2 \\ x = 2  + 1 \\ x = 3

hence, the value of x = 3 and y = (-1)

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