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Class 10 Maths Worksheets for Linear equation



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) 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
   6x – 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
2) Solve these  linear equation in two variable ( x and y)
i)

ii)

iii)

iv)

v)

vi)

vii)

viii)

ix)

x)

Answer
1)
a) (3, 2)
b)(3, -1)
c) (8, 3)
d)  (1,-1)
e) (a, b)
f) (a,-b)
g) (0, 0)   (22/31, 11/23)
h) (0,0) (1,3/2)
i) 1 ½ , 9/2
j)  3,2
2)
i) (1/2, 1/3)
ii) (1 ,3)
iii)   8,3
iv)  3,2
v)
vi) x = 2, y = 1
vii) 5, 7
viii) (1, 1)
ix) (a,b)
x) (11, 8)

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