Examples with solutions for Solving Equations by using Addition/ Subtraction: Monomial

Exercise #1

Solve for A:

a5=10 a-5=10

Step-by-Step Solution

To solve for a a , we need to isolate it on one side of the equation. Starting with:

a5=10 a-5=10

Add 5 5 to both sides to get:

a5+5=10+5 a-5+5=10+5

This simplifies to:

a=15 a=15

Therefore, the solution isa=15 a = 15 .

Answer

15 15

Exercise #2

Solve for B:

b+6=14 b+6=14

Step-by-Step Solution

To solve for b b , we need to isolate it on one side of the equation. Starting with:

b+6=14 b+6=14

Subtract6 6 from both sides to get:

b+66=146 b+6-6=14-6

This simplifies to:

b=8 b=8

Therefore, the solution is b=8 b = 8 .

Answer

8 8

Exercise #3

Solve for X:

x5=10 x - 5 = -10

Step-by-Step Solution

To solve the equation x5=10 x - 5 = -10 , we need to isolate x x .

Step 1: Add 5 to both sides of the equation to cancel out the -5 on the left side.
x5+5=10+5 x - 5 + 5 = -10 + 5
Step 2: Simplify both sides.
x=5 x = -5
Thus, the solution is x=5 x = -5 .

Answer

5 -5

Exercise #4

Solve for X:

x+7=12 x+7=12

Step-by-Step Solution

To solve for x x , we need to isolate it on one side of the equation. Starting with:

x+7=12 x+7=12

Subtract7 7 from both sides to get:

x+77=127 x+7-7=12-7

This simplifies to:

x=5 x=5

Therefore, the solution is x=5 x = 5 .

Answer

5 5

Exercise #5

Solve for X:

x7=14 x - 7 = 14

Step-by-Step Solution

To solve the equation x7=14 x - 7 = 14 , we need to isolate x x .

Step 1: Add 7 to both sides of the equation to cancel out the -7 on the left side.
x7+7=14+7 x - 7 + 7 = 14 + 7
Step 2: Simplify both sides.
x=21 x = 21
Thus, the solution is x=21 x = 21 .

Answer

21 21

Exercise #6

Solve for X:

x+9=3 x + 9 = 3

Step-by-Step Solution

To solve the equation x+9=3 x + 9 = 3 , we need to isolate x x .

Step 1: Subtract 9 from both sides of the equation to cancel out the +9 on the left side.
x+99=39 x + 9 - 9 = 3 - 9
Step 2: Simplify both sides.
x=6 x = -6
Thus, the solution is x=6 x = -6 .

Answer

6 -6

Exercise #7

Solve for Y:

y4=9 y-4=9

Step-by-Step Solution

To solve for y y , we need to isolate it on one side of the equation. Starting with:

y4=9 y-4=9

Add 4 4 to both sides to get:

y4+4=9+4 y-4+4=9+4

This simplifies to:

y=13 y=13

Therefore, the solution is y=13 y = 13 .

Answer

13 13

Exercise #8

Solve for Z:

z+2=8 z+2=8

Step-by-Step Solution

To solve for z z , we need to isolate it on one side of the equation. Starting with:

z+2=8 z+2=8

Subtract 2 2 from both sides to get:

z+22=82 z+2-2=8-2

This simplifies to:

z=6 z=6

Therefore, the solution is z=6 z = 6 .

Answer

6 6

Exercise #9

Solve the following exercise:

72x=63 72-x=63

x=? x=\text{?}

Video Solution

Step-by-Step Solution

To solve the question, we need to isolate X.

Since in this case X is negative, we will move it to the other side.

(Remember that when moving terms between sides, their signs change - from positive to negative and from negative to positive).

72=63+x 72=63+x

Now, we will also move the 63 to the other side.

(Remember that 63 becomes negative when moving sides).

7263=x 72-63=x

And now let's solve the subtraction exercise:

9=x 9=x

Answer

9 9

Exercise #10

Find the value of the parameter X

8x=5 -8-x=5

Video Solution

Answer

13 -13

Exercise #11

Find the value of the parameter X:

x+5=8 x+5=8

Video Solution

Answer

3

Exercise #12

Solve for X:

3x=1 3-x=1

Video Solution

Answer

2 2

Exercise #13

Solve for X:

3+x=4 3+x=4

Video Solution

Answer

1

Exercise #14

Solve for X:

5+x=3 -5+x=-3

Video Solution

Answer

2 2

Exercise #15

Solve for X:

5x=4 5-x=4

Video Solution

Answer

1

Exercise #16

Solve for X:

x+3=5 x+3=5

Video Solution

Answer

2 2

Exercise #17

11=a16 11=a-16

a=? a=\text{?}

Video Solution

Answer

27 27

Exercise #18

6+y=0 6+y=0

y=? y=\text{?}

Video Solution

Answer

y=6 y=-6

Exercise #19

a+212=4 a+2\frac{1}{2}=4

a=? a=\text{?}

Video Solution

Answer

a=112 a=1\frac{1}{2}

Exercise #20

x+7=14 x+7=14

x=? x=\text{?}

Video Solution

Answer

7