6. Solve for x and y:
2x + 3y = 46
3x + 5y = 74
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Given pair of linear equations is
2x + 3y = 46 …(i)
And 3x + 5y = 74 …(ii)
On multiplying Eq. (i) by 3 and Eq. (ii) by 2 to make the coefficients of x equal, we get the equation as
6x + 9y = 138 …(iii)
6x + 10y = 148 …(iv)
On subtracting Eq. (iii) from Eq. (iv), we get
6x + 10y – 6x – 9y = 148 – 138
⇒ y = 10
On putting y = 10 in Eq. (ii), we get
3x + 5y = 74
⇒ 3x + 5(10) = 74
⇒ 3x + 50 = 74
⇒ 3x = 74 – 50
⇒ 3x = 24
⇒ x = 8
Hence, x = 8 and y = 10 , which is the required solution.
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hope it helps
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Brainly won't allow answers less than 20 words, so I am just gonna write this XD
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