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Question
Solve the following simultaneous equation.
2x – 3y = 9; 2x + y = 13
Sum
Solution
2x – 3y = 9 ....(I)
2x + y = 13 .....(II)
Subtracting (I) from (II) we get
2x – 3y = 9
2x + y = 13
– – –
0 –4y = –4
y = `(-4)/(-4)`
y = 1
Substitute y = 1 in equation (II)
2x + y = 13
2x + 1 = 13
2x = 13 − 1
2x = 12
x = `12/2`
x = 6
Thus, (x, y) = (6, 1)
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Linear Equation in Two Variables
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