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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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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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