The best two method of elimination and substitution how can i solve this question. Because it is very important type of question of class 10th math Solve the following pair of linear equations by the elimination method and the substitution method:(iii) 3x – 5y – 4 = 0 and 9x = 2y + 7
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Solve the following pair of linear equations by the elimination method and the substitution method:(iii) 3x – 5y – 4 = 0 and 9x = 2y + 7 Q.1(3)
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By the method of elimination:
3x – 5y – 4 = 0 ………………………………… (i)
9x = 2y + 7
9x – 2y – 7 = 0 …………………………………(ii)
When the equation (i) is multiplied by 3 we get,
9x – 15y – 12 = 0 ………………………………(iii)
When the equation (iii) is subtracted from equation (ii) we get,
13y = -5
y = -5/13 ………………………………………….(iv)
When equation (iv) is substituted in equation (i) we get,
3x +25/13 −4=0
3x = 27/13
x =9/13
∴x = 9/13 and y = -5/13
By the method of Substitution:
From the equation (i) we get,
x = (5y+4)/3 …………………………………………… (v)
Putting the value (v) in equation (ii) we get,
9(5y+4)/3 −2y −7=0
13y = -5
y = -5/13
Substituting this value in equation (v) we get,
x = (5(-5/13)+4)/3
x = 9/13
∴x = 9/13, y = -5/13