To determine why ( x = 6 ) is a solution to a proportion, we need to check if it satisfies the equality established by the proportion. A proportion typically takes the form ( \frac{a}{b} = \frac{c}{d} ). If substituting ( x = 6 ) into the proportion results in both sides being equal, then ( x = 6 ) is indeed a valid solution.
The solution to the proportion 8 over x 5 over 10 is that x is 16.
To determine why ( x = 4 ) is a solution to the proportion ( \frac{x}{5616} ), we can substitute ( x ) with 4 in the equation. This gives us ( \frac{4}{5616} ), which simplifies to ( \frac{1}{1404} ). If the proportion is set equal to another fraction that also simplifies to ( \frac{1}{1404} ), then ( x = 4 ) is indeed a valid solution. Without the complete proportion, this explanation assumes that ( \frac{x}{5616} ) equals ( \frac{1}{1404} ).
If there is a proportion a/b = c/d, then ad = bc. Examples: 3/4 =? 5/6 3 x 6 =? 4 x 5 18 = 20 False (this is not a proportion) 16/6 =? 8/3 16 x 3 =? 6 x 8 48 = 48 True (this is a proportion)
1/6=x/12 12=6x 2=x
X - 6 = 1 add 6 to each side X = 7 ==== So, - 5 is not a solution here.
The solution to the proportion 8 over x 5 over 10 is that x is 16.
The solution to the proportion 8 over x and 5 over 10 can be solved and x = 16.
The solution to the proportion 8 over x 5 over 10 can be said to lead to x being equal to 16.
To determine why ( x = 4 ) is a solution to the proportion ( \frac{x}{5616} ), we can substitute ( x ) with 4 in the equation. This gives us ( \frac{4}{5616} ), which simplifies to ( \frac{1}{1404} ). If the proportion is set equal to another fraction that also simplifies to ( \frac{1}{1404} ), then ( x = 4 ) is indeed a valid solution. Without the complete proportion, this explanation assumes that ( \frac{x}{5616} ) equals ( \frac{1}{1404} ).
If there is a proportion a/b = c/d, then ad = bc. Examples: 3/4 =? 5/6 3 x 6 =? 4 x 5 18 = 20 False (this is not a proportion) 16/6 =? 8/3 16 x 3 =? 6 x 8 48 = 48 True (this is a proportion)
The solution: x = 6/7 and x = -1
X squared = x+6 6+x=x squared X=6
5/6=x/30 150=6x 25=x
1/6=x/12 12=6x 2=x
4/6=x/24 96=6x 16=x
2/6=x/30 60=6x 10=x
X - 6 = 1 add 6 to each side X = 7 ==== So, - 5 is not a solution here.