Substitute this simultaneous linear equation 2x + 2y = 14 \\ 5x - 2y = 14

asked Feb 3, 2023 136k views

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Substitute this simultaneous linear equation

$2x + 2y = 14 \\ 5x - 2y = 14$

by Kale

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Answer:

$2x + 2y = 14 \: .....(1) \\ \\ 5x - 2y = 14 \: .....(2)$

From equation (1) ;

$2x + 2y = 14 \\ \\ 2y = 14 - 2x \\ \\ y = (14 - 2x)/(2) \\ \\ y = 7 - x$

Substitute in equation (2)

$5x - 2y = 14 \\ \\ 5x - 2(7 - x) = 14 \\ \\ 5x - 14 + 2x = 14 \\ \\ 7x = 14 + 14 \\ 7x = 28 \\ \\ x = (28)/(7) \\ \\ x = 4$

$y = 7 - x \\ y = 7 - 4 \\ \\ y = 3$

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