chibabykalu16
chibabykalu16 chibabykalu16
  • 21-02-2022
  • Mathematics
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Substitute this simultaneous linear equation
[tex]2x + 2y = 14 \\ 5x - 2y = 14[/tex]
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ghaithgh
ghaithgh ghaithgh
  • 21-02-2022

Answer:

[tex]2x + 2y = 14 \: .....(1) \\ \\ 5x - 2y = 14 \: .....(2) [/tex]

From equation (1) ;

[tex]2x + 2y = 14 \\ \\ 2y = 14 - 2x \\ \\ y = \frac{14 - 2x}{2} \\ \\ y = 7 - x[/tex]

Substitute in equation (2)

[tex]5x - 2y = 14 \\ \\ 5x - 2(7 - x) = 14 \\ \\ 5x - 14 + 2x = 14 \\ \\ 7x = 14 + 14 \\ 7x = 28 \\ \\ x = \frac{28}{7} \\ \\ x = 4[/tex]

[tex]y = 7 - x \\ y = 7 - 4 \\ \\ y = 3[/tex]

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