1. Multiply x and 3y by x-2
x^2-2x (i.e. x*x=x^2, -2*x=-2x)
3yx-6y (i.e. 3y*x=3yx, 3y*2=6y)
2. Multiply x+y by -4
x*-4= -4x
y*-4=-4y
3. Multiply 2x+3y by -1
2x*-1=-2x
3y*-1=-3y
4. Combine like terms
x^2 3yx -2x -6y
-2x -3y
-4x -4y
-------------------------------------------
x^2 +3yx -8x -13y
Hope this helps!
x= small frames
y = large frames
6x+15y = 114
x+y = 13
solve for x
x=13-y
substitute into 6x+15y = 114
6(13-y) +15y = 114
distribute
78 -6y +15y = 114
combine like terms
78 +9y = 114
subtract 78 from each side
9y = 36
divide by 9
y =4
x = 13-y
x = 13-y
x=9
Answer: 9 small frames and 4 large frames
Answer:
Step-by-step explanation:
First, we write the rental cost with each company:
Company A
Company B
Where m: miles travelled
Now, we need to find "number of miles in a day at which the rental costs for Company A and Company B are the same". This means Pa = Pb. Then:
Solving the equation for m by taking 0.2m and 60 on both sides:
Finally, dividing 0.5 on both sides:
You simplify
4i(2-i)(5+31)
And you get
144+288i
Hmm...
If I'm correct, then you need about 12 striped marbles.