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- Steps to solve the equations

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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 = a

f) (a – b) x + (a + b) y = a

(a + b) (x + y) = a

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)

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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