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# Solve the following pair of linear equations by the elimination method and the substitution method:(iv) x/2+ 2y/3 = -1 and x-y/3 = 3 Q.1(4)

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The important chapter of class 10th Pair of linear equations in two variables how i solve the question by both method Solve the following pair of linear equations by the elimination method and the substitution method:(iv) x/2+ 2y/3 = -1 and x-y/3 = 3

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1. By the method of Elimination.

3x + 4y = -6 …………………………. (i)

x-y/3 = 3

3x – y = 9 ……………………………. (ii)

When the equation (ii) is subtracted from equation (i) we get,

-5y = -15

y = 3 ………………………………….(iii)

When the equation (iii) is substituted in (i) we get,

3x – 12 = -6

3x = 6

x = 2

Hence, x = 2 , y = -3

By the method of Substitution:

From the equation (ii) we get,

x = (y+9)/3…………………………………(v)

Putting the value obtained from equation (v) in equation (i) we get,

3(y+9)/3 +4y =−6

5y = -15

y = -3

When y = -3 is substituted in equation (v) we get,

x = (-3+9)/3 = 2

Therefore, x = 2 and y = -3

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