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