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Firdavs [7]
2 years ago
14

Solve the system of the following equations:

Mathematics
2 answers:
Alina [70]2 years ago
7 0

Answer:

(5, \:  - 2)

Step-by-step explanation:

x + 3y =  - 1 \\ 2x + 2y = 6 \\ solve \: the \: equation \\  \\ x =  - 1 - 3y \\ 2x + 2y = 6 \\ substitute \: the \: value \: of \: x \: into \: an \\ equation. \\  \\ 2( - 1 - 3y) + 2y = 6 \\ distribute \\  \\  - 2 - 6y + 2y = 6 \\ add \:  - 6y \: to \: 2y \\  \\  - 2 - 4y = 6 \\ add \: 2 \: from \: both \: sides \\  \\  -  2y = 8 \\ divide \: both \: sides \: by \: 2 \\  \\ y =  - 2 \\ substitute \: the \: value \: of \: y \: into \: an  \\  equation. \\  \\ x =  - 1 - 3( - 2) \\ distribute \\  \\  - 1  + 6 \\ add \:  - 1 \: to \: 6 \\   \\  x = 5 \\  \\ (5, - 2)

schepotkina [342]2 years ago
4 0
The answer is (5,-2)
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