Question

rezolvati sistemul :

6√5x - 2√3 =42
5√5x - 3√3y =23

Answer 1

$a) \\ \\ 6 \sqrt{5} - 2 \sqrt{3} = 42 \\ \\ x \times 6 \sqrt{5} = 2 \sqrt{3} + 42 \\ \\ x = \frac{42 + 2 \sqrt{3} }{6 \sqrt{5} } \\ \\ b) \\ \\ 5 \sqrt{5}x - 3 \sqrt{3}y = 23 \\ \\ x \times 3 \sqrt{3} = 5 \sqrt{5} + 23 \\ \\ x = \frac{23 + 5 \sqrt{5} }{3 \sqrt{3} }$

Answer 2

6√5x - 2√3y =42 l× (-5)

5√5x - 3√3y =23 l× 6

-30√5x + 10√3y = -210

30√5x - 18√3y =138

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/ - 8√3y = - 72 ⇒ y=72/8√3=9/√3=9√3/3=3√3 , y=3√3

6√5x - 2√3×3√3 =42

6√5x - 18=42

6√5x =42 +18

6√5x=60

x=60/6√5=10/√5=10√5/5=2√5 , x=2√5