Question
Complete the following activity to solve the simultaneous equations.
5x + 3y = 9 ……. (i)
2x + 3y = 12 ……… (ii)
5x + 3y = 9 ……. (i)
2x + 3y = 12 ……… (ii)
✓
Answer
5x + 3y = 9 ……. (i)
(5x + 3y ) - (2x + 3y) = 9 - 12
5x - 2x + 3y - 3y = -3
3x = -3
x = -1
Putting the value of x in equation (i),
5(-1) + 3y = 9
-5 + 3y = 9
3y = 14
y = 14/3
2x + 3y = 12 ……… (ii)
Subtracting equation (ii) from (i), we get,(5x + 3y ) - (2x + 3y) = 9 - 12
5x - 2x + 3y - 3y = -3
3x = -3
x = -1
Putting the value of x in equation (i),
5(-1) + 3y = 9
-5 + 3y = 9
3y = 14
y = 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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