Question

Why is x = 4 a solution to the proportion StartFraction 14 over x EndFraction = StartFraction 56 over 16 EndFraction?

Answer 1

\[\frac{ 14 }{ x } = \frac{ 56 }{ 16 } \]

we are told that x = 4 is a solution to this equation. therefore, when you plug in 4 where x is, both sides should still be equal.
\[\frac{ 14 }{ 4 } = \frac{ 56 }{ 16 } \]

there's a couple ways you could prove this:
- cross multiply and verify that both sides are equal
- find a constant that you can multiply the left side by, to get the right side
- convert both sides to a decimal by dividing the numerator by the denominator

take your pick