Answer:
The coefficient of x² in the expression is 2
x/3(6x-1/2) = 6x²/3 - x/6
= 2x² - x/6
Hope this helps
Answer:
28 workstations
Step-by-step explanation:
First, let us find the area of the shop to be built:
Area = Length × width
Area = 14.0 × 10.0 = 140.0 m²
Next, we are told that each workstation allows 5.0 m²
this means that:
5.0 m² = 1 workstation
1.0 m² = 1/5 workstation
∴ 140.0 m² = 140 × 1/5 workstation
= 140 × 0.2 = 28 workstations
I'll do substitution for you.
Lets flip the second equation around a little to make it x=-4y-8
Now plug it into the first equation.
2(-4y-8)+y=5
-8y-16+y=5
-7y=21
y=-3
Plug it back in to get x and then you solved the system.
2x-3=5
2x=8
x=4
So the solution to the system is
(4,-3)
Now to do it via elimination..
Lets get rid of the x to just leave the y
Multiply the second equation by -2..
2x+y=5
-2x-8y=16
combine like terms...
-7y=21
y=-3
plug it in again...
2x-3=5
2x=8
x=4
(4,-3)
The solution is (3,4). It’s where the lines intersect