Prime factorization means express the given number by prime number .
First put a bubble around 5x-7. Now you plug that into the problem. -3x-2
(5x-7)=12. now times the -2 by 5x which is -10x. and then times the -2 by -7 which is 14. so now you have -3x-10x+14=-12. add the -3x and -10x. -13x. Add the 14 over. -13x=2. Now dived by -13, which gives us x=-0.15
Now you take that a plug it into the -3x-2y=-12. So that it looks like this -3(-0.15)-2y=-12
Now times the -3 by -0.15 to give us 20 -2y=-12. Now 'kill' the 20, so that it looks like this -2y=-32. Now you divide by -2 and get y=16.
Now your ordered pair is (-0.15,16)
2 units, because translations do not change the length of segments. Hope this helps!
9.61 - 4.02 = 5.59
Her weekly allowance is $5.59 a week
