1. Complete the following activity to solve the simultaneous equations.
5x + 3y = 9 ……. (i)
2x + 3y = 12 ……… (ii)
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5x + 3y = 9 ……. (i)
5x + 3y = 9 ……. (i) 2x + 3y = 12 ……… (ii)
Subtracting equation (ii) from (i), we get,
(5x + 3y ) - (2x + 3y)
= 9 - 125x - 2x + 3y - 3y
= -33x = -3x = -1
Putting the value of x in
Putting the value of x in equation (i),
5(-1) + 3y = 9-5 + 3y
= 93y = 14y = 14/3
Let’s add equations (I) and (II).
Hence, x = -1 and y = 14/3 is the solution of the equation.
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