Activity › Discussion › Math › Linear Equation › Reply To: Linear Equation

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Given equations are <div>
2x+3y=9 … eq (1) and
xy=3 …eq(2)
To solve by elimination method, we need to make coefficient of x in both the equations equal or coefficient of y in both the equations should be equal.
Suppose, we want to make the coefficient of y equal in both the equations.
We can do it by multiplying equation 2 with 3.
On multiplying eq 2 by 3, we get,
3x – 3y = 9 …eq (3)
Now, adding eq(1) and (3), we get,
2x + 3y = 9
3x – 3y = 9
We get,
5x = 18
x = 18/5
Now, xy=3
18/5 y = 3
y = 18/5 – 3
= (18 – 15)/5
= 3/5
Therefore, x = 18/5 and y = 3/5
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