SHINE YASH
CLASSES
Linear
equations of two variable
1.Solve
the equation by substitution , elimination
And
cross multiplication method .
a. 3x + 5y
= 9 ,
2x + 3y
= 4
b. 5/x + 5y
= 9 , 5/x +
3y = 8
c. 13x + 5/y
= 19 ,
12x + 3/y
= 4
d. 7x -2y
= 5 ,
2x + 13y
= 41
e. 2/x – 12/y
= 8 , 4/x - 7/y = 5
f. 3/x – 15/y
= 20 , 2/x + 1/y = 12
g. x/2
- 2y/5 =
- 5 , 7/3x
+ 9y = 10
h. 3.5 x + 5y
= 11 ,
2.5x - 3.7y
= 4/5
i. .32x -5.5y
= -8 ,
2.7x + 3.8y
= 4.5
j. x - 2.7 5y
= 2.1 , 1.2x
- 3.1y = 1.1
k. 3/4x + 5/2y =
9/3 , 2/7x
+ 3/5y = 4/5
2. In a number consisting of two digits the
unit
Digit is twice their difference . if the
order of
The digits is reversed the number is
increased
By 18 . find the number .
3.The sum of the two digit number is 7 . If
the digit
Are
reversed the new number will the 2 more
Than twice
the original number .find the
number.
SHINE
YASH CLASSES
Linear
equations of two variable
4. In a number of two digits the sum of the is
12. If the digits are reversed the number
is
Increased
by 36 .what is the number .
5. A father is three times as old as his son.
After Twelve years his age will be twice
that
of the age his son then .find their present
ages ?
6. Five years ago A father is three times as
old as
his son. After Ten years his age will be
twice that
of the age his son then .find their present
ages ?
7. ten years ago A father is twelve times as
old as
his son. After Ten years his age will be
twice that
of the age his son then .find their present
ages ?
8. 3bags and 4 pen together cost Rs 257
whereas
4bags and 3 pen together cost Rs 324 whereas
Find the total cost 1 bag and 10 pens .
9. 5books and 7 pen together cost Rs 79
whereas
7
bags and 5 pen together cost Rs 77 whereas
Find the total cost 1 book and 2 pens .
10. In a ∆ ABC , ∠ B = 3∠ A - 2°
, ∠ C - ∠ B = 9°
Find the three
angle of the triangle .
11. In a ∆ ABC , 2(∠ B + ∠ A ) = 3°
, ∠ C = ∠ B
Find the three
angle of the triangle .
12.In a cyclic quadrilateral ∠ A = (2x+ 4)°
∠
B = ( y + 3)° , ∠
C = (2y + 10)° ,
∠ D = (4x - 2)°
. Find the angles .