Answer:

because if you substitute 4 into the equation for x and cross multiply, you get 224 = 224

Explanation:

Hope this helps

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Question 3

$\large\text{Hey there!}$

$\large\text{Step 1: You have to \underline{\bf{CROSS MULTIPLY}}}$

$\mathsf{(14)/(x)=(56)/(16)}\\\\\mathsf{14*16=56* x}\\\\\mathsf{14(16)= \ \bf{\underline{224}}}\\\\\mathsf{56(x)=\underline{\bf{56x}}}$

$\huge\text{We get: \bf{\underline{224 = 56x}}}$

$\large\text{Step 2: }\large\text{\bf{\underline{FLIP}}}\large\text{ the new equation around}$

$\huge\text{\bf{\underline{56x = 224}}}$

$\large\text{Step 3: \bf{\underline{DIVIDE}}}\large\text{ both of your sides by 56}$

$\mathsf{(56x)/(56)=(224)/(56)}\\\\\mathsf{Cancel\ out: (56x)/(56)\ because\ that\ gives\ us\ 1}\\\\\mathsf{Keep: (224)/(56)\ because\ it\ gives you\ the\ value\ of\ x }\\\\\mathsf{(224)/(56)=4}\\\\\mathsf{x=4}$

$\boxed{\large\text{So, the reason why x = 4 for this equation is because } \mathsf{(14)/(4)}\ \& \ (56)/(16)\ \large\text{ are equal to each}}\\\boxed{\large\text{other. }}$

$\mathsf{(14)/(4) = 3.5}$