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Tems11 [23]
3 years ago
7

Solve the system of linear equations by substitution.

Mathematics
1 answer:
maksim [4K]3 years ago
3 0

Answer:

x = 2 \\ y = 3

- 5x + y =  - 7.......(1) \\  - 3x - 2y =  - 12......(2) \\ from \: (1) \\ y =  - 7 + 5x \\ substitute \: in \: (2) \\  - 3x - 2( - 7 + 5x) =  - 12 \\  - 3x + 14 - 10x =  - 12 \\

- 13x =  - 26 \\ x =  \frac{ 26}{13}  \\ x = 2

y =  - 7 + 5x \\  =  - 7 + 5 \times 2 \\  =  - 7 + 10 \\  y= 3

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