1. 2x+3=4x+2
⇒ 4x-2x=3-2
2x=1
x=1/2
There is one solution.
2. 18p-10p=5+6/2
8p=5+3
8p=8
p=8:8
p=1
3. 6a/3=2a
2a-a= -2 -3
a= - 5
4. 5+r-2=9,
5-2+r=9
3+r=9
r=9 - 3
r=6
5. -0,9 m= 9
m= - 10
6. -2 (x+1/4)=5-1=4
x+1/4= -2
x= -2 - 1/4
x= -8/4 - 1/4= - 9/4
7. 6f+4f= 6 + 12
10 f = 18
f=18/10=1,8
8. 7n - 3n= 16
4n=16
n=16:4
n=4
9. 1/3m-5/6m= - 15 - 3
2/6 m-5/6=-18
- 3/6m=-18 ⇒ 1/2m=18
m=2*18=36
Note on how to solve such equation:
This is a quadradic equation. The figure shown is a parabola. This parabola opens downward. Now, this information is not necessary important for this particular situation; however, it needs to be retained for said class or for the near future.
The equation for a quadradic function is: f(x)=x^2+2
when x=-2, y=1
Answer:
Each package of pen costs 2.5
Each package of marker costs 5
Step-by-step explanation:
Please refer to the attached image for explanations
Reorder terms so constants are on the left
(3x + 7) 8x^2
8(3x +7)x^2
Distribute
Answer: 24x^3+56x^2
