Question

1.2x + 3 =4x + 2

How many solutions does the equation have?


2.10p+5= 18p-6/2

What is the value of p?


3.a-2= 3+6a/3

what is the value of a?


4.5+r-2=9

What is the value of r?

5.0.61m-1.51m =9

What is the value of M?

6.-2(x+1/4) +1 =5

Solve for X

7.6f - 12 = -4f +6

What is the value of f?

8.3n + 16 =7n
What is the value of n?

9.1/3m + 3 - 5/6m = -15

What is the value of m?

Answer 1

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