Melissa bought a new car with 12 optional features to the car. each optional feature costs either $23.99 or $120.84. if she paid $675.28 for all the optional features, how many of each type did she buy? write and solve an equation to solve this problem. show all your work.

Fetures are x and y
x+y=12

23.99x+120.84y=675.28

x+y=12
multiply by -23.99 and add to other equation

-23.99x-23.99y=-287.88
23.99x+120.84y=675.28 +
0x+96.85y=387.4

96.85y=387.4
divde both sides by 96.85
y=4

sub back

x+y=12
x+4=12
minus 4
x=8

8 of the features costing $23.99
4 of the features costing $120.84

The answer would he -4,-2 because the points are just on the opposite side. since the x axis is +4 it's going to he -4 and since the y axis is -2 it stays there because whaen rotated it stays in the third quadrant