Worksheets for Linear equations in two variable Class 10 - GMS - Learning Simply
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Worksheets for Linear equations in two variable Class 10

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Question 1.
Solve these linear equation in two variable ( x and y)
a. 37x+41y=70
41x+37y=86

b. 99x+101y=499
101x+99y=501

c. 23x29y=98
29x23y=110

d. ax+by=ab
bxay=a+b

e. x+y=a+b
axby=a2b2

f. (ab)x+(a+b)y=a22abb2
(a+b)(x+y)=a2b2

g. 8x3y=5xy
5y=2xy

h. 3(2x+y)=7xy
3(x+3y)=11xy

i. 49x+51y=499
51x+49y=501

j. 217x+131y=913
131x+217y=827


Qustion 2
Solve these linear equation in two variable ( x and y)
i. 12x+13y=2
13x+12y=136

ii) 2x+3y=9xy
4x+9y=21xy
Where x0,y0

iii. 22x+y+15xy=5
55x+y+45xy=14

iv.5x+y2xy=1
15x+y+7xy=10

v. bx+cy=a+b
ax(1ab1a+b)+cy(1ba1b+a)=2aa+b

vi)12(2x+3y)+17(3x2y)=1720
7(2x+3y)1(3x2y)=285

vii.x+12y+411=2
x+32+2y+317=5



viii.7x2yxy=5
8x+7yxy=15

ix. xa+yb=2
axby=a2b2

x.57x+y+6xy=5
38x+y+21xy=9

Answer


1.
i. (3, 2)
ii. (3, -1)
iii. (8, 3)
iv. (1,-1)
v. (a, b)
vi. (a,-b)
vii. (0, 0) ,(22/31, 11/23)
viii. (0,0) (1,3/2)
ix. (1 ½ , 9/2)
x. 3,2

2.
i. (1/2, 1/3)
Hint: Take 16x=p,16y=q and then solve in p& q and then find x and y

ii. (1 ,3)
Hint: Take 1x=p,1y=q and then solve in p& q and then find x and y

iii. (8,3)
Hint: Take 1x+y=p,1xy=q and then solve in p& q and then find x and y

iv. (3,2)
Hint: Take 1x+y=p,1xy=q and then solve in p& q and then find x and y

v. ab,bc vi. (2,1)
Hint: Take 12x+3y=p,13x2y=q and then solve in p& q and then find x and y

vii. 5, 7
viii. (1, 1)
Hint:
Convert into these forms
7y2x=5
8y+7y=15
Take 1x=p,1y=q and then solve in p& q and then find x and y

ix. (a,b)
x. (11, 8)

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At the helm of GMS Learning is Principal Balkishan Agrawal, a dedicated and experienced educationist. Under his able guidance, our school has flourished academically and has achieved remarkable milestones in various fields. Principal Agrawal’s visio…

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