-7x-3x= -10x
-10x+2=-8x-8
-10x+8x+2=-8
-2x+2= -8
-2x = -8 + 2
-2x= -6
X= -6/-2
X= 3
So your total is $6584
tution costs $704 more than room and board
you know nothing about how much the room and board cost so thats your "naked variable" so chose a variable to go in place of that. im going to coose r.
tuition($704 more than room and board): r +704
room and board(you know nothing about it): r
so add it all together you get r+704+r=your total.
sole the equation
2r +704= 6584
-704 on both sides
you get 5880 so it would come to 2r= 5880
divide by 2 on both sides
so r= 2940
r is the room and board so put 2940 in place of r in the equation you get from your variables which are r and r+704
so the final equation is 2940 +704 and your final answer is 3644
Simplify using FOIL 15x3+18x+10x2+12
change to improper fractions
8 1/2 = (2*8+1)/2 = 17/2
2 1/4 = (4*2+1)/4 = 9/4
17/2 divided by 9/4
copy dot flip
17/2 *4/9
17/9 *4/2
34/9
change back to a mixed number
3 remainder 7
3 7/9