Question

$x + y = 5 \: and \: 2x { }^{2} = 3y - 2 \: then \: find \: the \: value \: of \: x \: and \: y$
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Answer 1

Answer:

x= -3/2 or-3

Step-by-step explanation:

$(x + y) = 5 \\ y = 5 - x$

Substitute the value of y in our equation

$2 {x}^{2} = 3(5 - x) - 2 \\ 2 {x}^{2} = 15 - 3x - 6 \\ 2 {x}^{2} + 3x - 9 = 0 \\ 2 {x}^{2} + 6x - 3x - 9 = 0 \\ 2x(x + 3) - 3(x + 3) = 0 \\( 2x + 3) (x + 3) = 0$

Hence,

$2x + 3 = 0 \\ 2x = - 3 \\ x = \frac{ - 3}{2}$

OR

$x + 3 = 0 \\ x = - 3$

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