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

Using the equationc=sa+tb, withsandtas scalars, I'm supposed to find the exact values ofsandt.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?