Vectors: Finding coefficients to scalars with given vectors.

The problem gives three vectors: **a**=<4,3>, **b**=<4,-1>, and **c**=<6,2>.

Using the equation **c**=*s***a**+*t***b**, with *s* and *t* as scalars, I'm supposed to find the exact values of *s* and *t. *However, I am clueless on how to solve this using a method that doesn't involve random guessing. The second scalar has thrown off my train of thought.

Using what the problem has provided, I rewrote the equation to:

<6,2> = s<4,3> + t<3,-1> and using the vector multiplication and addition properties I got:

<6,2> = <4s + 3t, 3s - t> and that's where I got stumped. Am I on the right track or am I'm not doing this right?