Question

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

Answer 1

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.