If u = < -7, 6> and v = < -4, 17> , which vector can be added to u + 3v to get the unit vector < 1, 0> as the resultant vector?

1) u + 3v = (-7,6) + 3(-4,17) = (-7,6) + (-12, 51) = (-19, 45)

2) (-19,45) + (a,b) = (1,0) =>

-19 + a = 1 => a = 1 + 19 = 20, and
45 + b = 0 => b = - 45

Solution: (a,b) = (20, - 45)

<20, -45>

-2x + 7 = 7

subtract 7 from both sides.

-2x = 0

divide both sides by -2.

x = 0

the value of x is equal to 0.