Let us take the second equation first 2a + 2b = 6 Dividing both sides by 2 we get a + b = 3 a = 3 - b Putting the value of a in the first equation we get 3a + 4b = 9 3(3 - b) + 4b = 9 9 - 3b + 4b = 9 b = 9 - 9 = 0 Now putting the value of b in the second equation we get a + b = 3 a + 0 = 3 a = 3 So the value of the unknown variable a is 3 and the value of the unknown variable b is 0.