Solve the following simultaneous equations
(3) 2x - 3y = 9; 2x + y = 13
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Complete the following activity to solve the simultaneous equations.
2x - 3y = 9 -----(I)
2x + y = 13 -----(II)
Step-by-step explanation:
2x - 3y = 9 -----(I)
2x + 3y = 13 -----(II)
Add (I) & (II)
4x = 22
x = 11/2
Putting the value of x = 11/2 in (I) we get
2(11/2) - 3y = 9
⇒ 11 + 3y = 9
⇒ 3y = 9 - 11 = -2
⇒ y = -2/3
Thus,
(x, y) = (11/2, -2/3)
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