Solve by elimination:

\[ 4x + 7y = 8 \]

\[ -8x - 14y = 5 \]

\left \{ {\big{4x+7y =8} \atop\big {-8x -14y= 5}} \right. \\\\ \left \{ {\big{4x+7y =8\ /\cdot2} \atop\big {-8x -14y= 5\ \ }} \right. \\\\ \left \{ {\big{8x+14y =16} \atop\big {-8x -14y= 5 }} \right. \\----------\\0=21\\no\ solution

Answered by kate200468 | 2024-06-10

{ 4 x + 7 y = 8 / ⋅ 2 − 8 x − 14 y = 5 ​ { 8 x + 14 y = 16 − 8 x − 14 y = 5 ​ + \- − − − − − − − − 0  = 21 A n s w er : t h e sys t e m ha s n o so l u t i o n

Answered by Lilith | 2024-06-10

The system of equations has been solved by elimination, leading to the conclusion that there is no solution as the resulting false statement (0 = 21) indicates. This means the two lines represented by the equations are parallel and do not intersect. Therefore, the equations are inconsistent.
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Answered by kate200468 | 2025-02-13