Verify that (x + y)=x+yby taking x=7/11,y =-22/21
Answers
Answer:
−0.411255411255
Step-by-step explanation:
(x+y) = x+y
x=7/11 , y=-22/21
(7/11+(-22/21)) = 7/11+(-22/21)
(7/11-22/21)= 7/11-22/21
−0.411255 = −0.411255
Answer:The equation (x/y) - 1 = (x - 1) / (y - 1) does not hold true when x = 7/11 and y = -22/21.
Step-by-step explanation:
To verify the equation using the given values, let's substitute x = 7/11 and y = -22/21 into both sides of the equation and see if they are equal.
Left side of the equation: (x/y) - 1
Substituting x = 7/11 and y = -22/21:
(7/11) / (-22/21) - 1
To divide fractions, we multiply the first fraction by the reciprocal of the second fraction:
(7/11) * (-21/22) - 1
Simplifying the fraction:
-147/242 - 1
To subtract fractions, we need a common denominator:
(-147/242) - (242/242)
Combining the fractions:
(-147 - 242) / 242
-389/242
Right side of the equation: (x - 1) / (y - 1)
Substituting x = 7/11 and y = -22/21:
(7/11 - 1) / (-22/21 - 1)
Simplifying the fractions:
(-4/11) / (-22/21 - 21/21)
Combining the fractions:
(-4/11) / (-22 - 21) / 21
(-4/11) / (-43/21)
To divide fractions, we multiply the first fraction by the reciprocal of the second fraction:
(-4/11) * (21/-43)
Simplifying the fraction:
84/473
Comparing the results:
-389/242 ≠ 84/473
Therefore, the equation (x/y) - 1 = (x - 1) / (y - 1) does not hold true when x = 7/11 and y = -22/21.