Solve for x and y: 2x - 3y = 13, 7x - 2y = 20

1.	Solve for x and y: 2x - 3y = 13, 7x - 2y = 20
Answer» The given system of equation is: 2x - 3y = 13 ……(i) 7x - 2y = 20 ……(ii) On multiplying (i) by 2 and (ii) by 3, we get: 4x - 6y = 26 ……(iii) 21x - 6y = 60 …….(iv) On subtracting (iii) from (iv) we get: 17x = (60 – 26) = 34 ⇒x = 2 On substituting the value of x = 2 in (i), we get: 4 – 3y = 13 ⇒3y = (4 – 13) = -9 ⇒y = -3 Hence, the solution is x = 2 and y = -3.

Answer»

The given system of equation is:

2x - 3y = 13 ……(i)

7x - 2y = 20 ……(ii)

On multiplying (i) by 2 and (ii) by 3, we get:

4x - 6y = 26 ……(iii)

21x - 6y = 60 …….(iv)

On subtracting (iii) from (iv) we get:

17x = (60 – 26) = 34

⇒x = 2

On substituting the value of x = 2 in (i), we get:

4 – 3y = 13

⇒3y = (4 – 13) = -9

⇒y = -3

Hence, the solution is x = 2 and y = -3.

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