If 2(a+b)=x+y and x+y=2c, then a+b=c. Is it true or false? Why?
justaguide | Certified Educator
It is given that 2(a+b)= x+y and x+y = 2c. Use the transitive property of equality: if a = b and a = c, b = c
x + y = 2c and x + y = 2(a +b)
=> 2c = 2(a +b)
divide both sides by 2
=> c = a + b
This proves that a + b = c