What is the value of u in the following system of linear equations?

Question

4u + 3v = –1
3u + 2v = 1

a) 5
b)-11/2
C)-7
d)19/3

Answer 1

Multiply both sides of the 1st Eq by -2,
and multiply both sides of the 2nd Eq by 3. Then add the Eqs.

-8u -6v = 2
+9u +6v = 3

U = 5.