Find the projection p of the vector b onto the vector a.(any entry that is a fraction should be entered as a proper fraction, i.e. as either x/y or -x/y where x and y are positive integers with no factors in comm

x= 5, y = -2

Step-by-step explanation:

-2x-9y=8

-5x-8y=-9

Multiply the first equation by 5

5( -2x-9y)=8*5

-10x -45y = 40

Multiply the second equation by -2

-2 (-5x-8y)=-9*-2

10x +16y = 18

Add the new equations together to eliminate x

-10x -45y = 40

10x +16y = 18

-29y = 58

Divide each side by -29

-29y/-29 = 58/-29

y = -2

Now we can find x

-2x-9y=8

-2x -9(-2) =8

-2x +18 = 8

Subtract 18 from each side

-2x+18-18 = 8-18

-2x = -10

Divide by -2

-2x/-2 = -10/-2

x = 5