Solve

4x – 2y = 10
x + y = 4

(3,1)

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(-3,-1)

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(3,-1)

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(-3,1)

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Solution

The correct option is A (3,1)
Given equations:

4x – 2y = 10........(i)
x + y = 4.........(ii)

from (ii) y = 4 - x

Substituting y in (i)

4x – 2y = 10
4x - 2(4 - x) = 10
4x - 8 + 2x = 10
6x - 8 (+8) = 10 (+8)
6x = 18
x = 3

$∴$ y = 1

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15 x^{4} + 10 x^{2} y^{2} + 12 x^{2} y + 8 y^{3}

3 x + 5 y \leq 15 5 x + 2 y \leq 10 x, y \geq 0

The solution set the given set of equations will be

$x + y + z = 6$

$x + 2 y + 3 z = 10$

$x + 2 y + z = 1$

z = 5 x - 2 y

3 x + 2 y \leq 6, 10 x + 9 y \geq 45, x, y \geq 0

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