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Equation Problems - easy
Submit a problem here.
Problem №1
Solve the equation
Solution:
Problem №2
Solve the equation
z-5=6
.
Solution:
By adding
5
to both sides, we get
z=5+6
, or
z=11
.
Problem №3
Solve the linear equation
Solution:
Problem №4
Solve the equation
m+10=3m
.
Solution:
By substracting
m
from both sides, we get
m+10-m=3m-m
, so
10=2m
or
2m=10
. Dividing both sides of the equation by 2, we find that
m=5
Problem №5
Solve the equation
Solution:
We divide both sides of the equation with 4:
Problem №6
Solve the equation
Solution:
The equation is defined for
. We cross multiply and get
, which is a valid value for
x
and the solution.
Problem №7
Solve the linear equation
Solution:
We divide both sides by 19:
Problem №8
If
, determine the value of
x
.
Solution:
Problem №9
Solve the linear equation
Solution:
Problem №10
Solve the equation
Solution:
Problem №11
A number equals 5 times itself. Which is the number?
Solution:
Let us denote the number with
x
. We have the equation
Problem №12
Solve the equation
Solution:
Problem №13
If
28=10y-3y
, find
y
.
Solution:
We substract on the right side:
28=7y
. Then we divide by 7 in order to get the solution,
y=4
.
Problem №14
Find the solution to the equation
.
Solution:
We multiply both sides by 5:
in order to get
x=40
.
Problem №15
Solve the equation
2x+5=9
Solution:
By substracting 5 from both sides of the equation, we get
2x+5-5=9-5
, or
2x=4
. Then we divide both sides by 2 to reach the solution,
.
Problem №16
Find the solution
n
to the equation
n+2=6
Solution:
By substracting 2 from both sides, we get
n+2-2=6-2
, or
n=4
Problem №17
Solve the equation
5-t=0
.
Solution:
We add
t
to both sides of the equation, and we get
5-t+t=0+t
, or
t=5
.
Problem №18
Find the solution b to the equation
.
Solution:
We multiply both sides of the equation by
3
in order to get
, or
b=9
.
Problem №19
Solve the equation
3c=8c
.
Solution:
We substract
3c
from both sides of the equation to get
3c-3c=8c-3c
, or
5c=0
. The we divide both sides by 5 and the answer is
c=0
.
Problem №20
Solve the linear equation
.
Solution:
First we multiply both sides by 8 to get free of the denominator. That yields
, or
3a=24
. Then we divide both sides by 3 to get
a=8
.
Problem №21
Solve the equation:
n+7=13
Solution:
By substracting 7 from both sides, we get
n+7-7=13-7
, or
n=6
.
Problem №22
Solve the equation
x-9=15
.
Solution:
By adding 9 to both sides, we get
x-9+9=15+9
, or
x=24
.
Problem №23
Solve the equation
3x+1=16
.
Solution:
By substracting 1 from both sides, we get
3x+1-1=16-1
, or
3x=15
. We divide both sides by 3 in order to get the value for x:
x=5
.
Problem №24
-2х - 6 = 2
Solution:
-2х = 2 + 6
-2х = 8
х= -8 : 2
х= -4
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