Ratsional tenglamalar sistemasi — 10-sinf Algebra test savollari

1.{$x+y=5,\frac{1}{x}+\frac{1}{y}=\frac{5}{6}$ sistemani yeching (musbat yechim).

• A)x=2, y=3 (yoki x=3, y=2)
• B)x=1, y=4
• C)x=5, y=0
• D)yechimi yo'q

2.{x-y=1, xy=6 sistemani yeching (x>y).

• A)x=3, y=2
• B)x=2, y=1
• C)x=6, y=5
• D)x=-2, y=-3

3.x va y musbat sonlar bo'lib, x-y=1 va $\frac{1}{y}-\frac{1}{x}=\frac{1}{6}$ bo'lsa, xy ko'paytmani toping.

• A)xy=6
• B)xy=1
• C)xy=12
• D)xy=3

4.{x²+y²=25, x+y=7 sistemani yeching (x>y, x,y butun).

• A)x=4, y=3
• B)x=5, y=2
• C)x=3, y=4
• D)x=7, y=0

5.{$\frac{2}{x}+\frac{1}{y}=3,\frac{3}{x}-\frac{1}{y}=2$} sistemani yeching.

• A)x=1, y=1
• B)x=2, y=2
• C)x=1, y=2
• D)x=2, y=1

6.{x+y=10, xy=21 sistemani yeching (x>y).

• A)x=7, y=3
• B)x=6, y=4
• C)x=8, y=2
• D)x=5, y=5

7.{x/y=2, x+y=9 sistemani yeching.

• A)x=6, y=3
• B)x=3, y=6
• C)x=4, y=5
• D)x=9, y=0

8.Ratsional tenglamalar sistemasini yechishda ko'pincha qaysi usul qo'llaniladi?

• A)o'rniga qo'yish (almashtirish) usuli
• B)faqat grafik usul
• C)faqat integrallash
• D)faqat differensiallash

9.x va y musbat sonlar bo'lib, y=x+1 va $\frac{1}{x}-\frac{1}{y}=\frac{1}{6}$ bo'lsa, x ni toping.

• A)x=2
• B)x=3
• C)x=1
• D)x=6

10.{x+2y=8, xy=6 sistemani yeching (x,y musbat butun).

• A)x=6, y=1 yoki x=2, y=3
• B)x=4, y=2
• C)x=8, y=0
• D)x=3, y=3