Answer:
(-2, -4.5)
Step-by-step explanation:
We can solve this equation with substitution.
x=2y+7
3x-2y=3
We can "substitute" 2y+7 for x into the second equation:
3(2y+7)-2y=3
Distribute the 3
6y+21-2y=3
Add like terms
4y+21=3
Subtract 21 from both sides
4y=-18
Divide both sides by 4 to isolate y
y=-4.5
Plug -4.5 back in for y:
x=2(-4.5)+7
x=-9+7
x=-2
(x,y)=(-2,-4.5)
Measure B is 90 because 17x+=180/2
and x=5
when you plug that into 17x+5 you get 90
A to the middle one
B to the top one
C to the bottom one
The top one is all real numbers because any number in the "l l" absolute brackets will come out to be positive, example: l-3l=3 and l3l=3. Thats going to be equal to and since the sign says "less than or equal to" that will work.
The middle one is only positive solutions because for 7x to be more than lxl it would need to be positive since the sign is "greater than"
The bottom one is none because the absolute of anything will always be more than a negative since the absolute is always positive. Never less or equal to a negative, always more.
With 433 dollars, you can buy 24 boxes of fixtures. When you buy 24 boxes, you will have 1 dollar left.
