Solve: and
The given two equations are:
…(i)
…(ii)
Now, substituting and
in (i) and (ii) the given equation will changed to:
3u + 2v = 2 …(iii)
9u – 4v = 1 …(iv)
Now, by multiplying (i) by 2 and adding it with (ii) we get:
15u = 4 + 1
Also, by multiplying (i) by 3 and subtracting it from (ii) we get:
6u + 4v = 6 – 1
∴ x + y = 3 …(v)
And, x – y = 2 …(vi)
Now, adding (v) and (vi) we get:
2x = 5
Now substituting the value of x in (v), we get: