Equality of Condition

Equality of condition states that the given conditions have two or more options that have an equal out come. .

Step  1:Check the given equation of left hand side is equal to right hand side

Step 2:If the left hand side is equal to right hand side the equality condition satisfies.Otherwise it is not a equality of condition(inequality condition)
Solved Examples on Equality of Condition

Example 1: Prove that the given equation satisfies "equality of condition"

3x+7=19

Solution: The Given equation is 3x+7=19

Step 1: Subtract both sides by 7.

3x+7-7=19-7

3x=12

Step 2: Divide both sides by 3

3x/3=12/3

x=4

Step 3:When x=4 only the equality of condition satisfies

Example 2:Check the given equation satisfies "equality of a condition"

(x+5)-(y+9)=4 at x=12 and y=4

Solution: The Given equation is (x+5)-(y+9)=4

Step 1:  Substitute x=12 and y=4 in the equation.

(12+5)-(4+9)=4

17-13=4

4=4

Step 2:So x=12 and y=4 satisfies the equation,this is a equality of a condition.

Example 3:Prove that the given equation satisfies "equality of condition"

4x+5=21

Solution:The Given equation is 4x+5=21

Step 1:Subtract both sides by 5

4x+5-5=21-5

4x=16

Step 2:Divide both sides by 4

4x/4=16/4

x=4

Step 3:When x=4 only the "equality of a condition" satisfies our equation.

Example 4:Check the given equation satisfies "equality of a condition"

(x+2)+(y+1)=9 at x=5 and y=1.

Solution:The given equation is (x+2)+(y+1)=9

Step 1:Substitute x=5 and y=1 in the equation.

(x+2)+(y+1)=9

(5+2)+(1+1)=9

7+2=9

9=9

Step 2:The x and y values satisfies at x=5 and y=1 ,so this is a equality of condition at x=5 and y=1.
Practice Problems on Equality of Condition

Problem 1:Check the given equation is equality of a condition or not?

6x+9=15 at x=1

Problem 2:Check the given equation satisfies "equality of a condition"

(x+3)-(y+1)=9 at x=7 and y=0