. Linear Equations in Two Variables Quiz 2 - THE MATH CENTRE

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10th

Linear Equations in Two Variables Quiz 2

Quiz on linear equations in two variables class 10

Class 10 (Linear Equations in two variables) Quiz 



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. 23x−29y=98
29x−23y=110

d. ax+by=a−b
bx−ay=a+b

e. x+y=a+b
ax−by=a2−b2

f. (a−b)x+(a+b)y=a2−2ab−b2
(a+b)(x+y)=a2−b2

g. 8x−3y=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 x≠0,y≠0

iii. 22x+y+15x−y=5
55x+y+45x−y=14

iv.5x+y−2x−y=−1
15x+y+7x−y=10

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

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

vii.x+12−y+411=2
x+32+2y+317=5
viii.7x−2yxy=5
8x+7yxy=15

ix. xa+yb=2
ax−by=a2−b2

x.57x+y+6x−y=5
38x+y+21x−y=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

Q2.
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,1x−y=q and then solve in p& q and then find x and y

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

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

vii. 5, 7
viii. (1, 1)
Hint:
Convert into these forms
7y−2x=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)