Solve the following simultaneous equations. 2x – 3y = 5 , x – 2y = 4  

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We have to solve the following set of simultaneous equations:

2x - 3y = 5 ...(1)

x - 2y = 4 ...(2)

From  (2)

x - 2y = 4

=> x=  4 + 2y

Substitute in (1)

2( 4 + 2y) - 3y = 5

=> 8 + 4y - 3y = 5

=> y = -3

x = 4 + 2y

=> x = 4 + 2*(-3)

=> x = 4 - 6

=> x = -2

We get x = -2 and y = -3

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