Matthew094idn
Answered

From personal advice to professional guidance, IDNLearn.com has the answers you seek. Our Q&A platform offers detailed and trustworthy answers to ensure you have the information you need.

5. Sara thinks the following expressions are equivalent:
2x + 3 = x/2 + 3/4
Is she right? If so, prove that these two expressions are equivalent. If not, what error(s) did she make?​

Sagot :

[tex]\sf\purple{No, \:Sara\: is \:wrong.}[/tex]

[tex]2x + 3≠ \frac{x}{2} + \frac{3}{4} [/tex]

[tex]\sf\red{Here's\:why:}[/tex]

[tex]L. H. S. = 2x + 3[/tex]

[tex]R. H. S = \frac{x}{2} + \frac{3}{4} \\ = \frac{x \times 2}{2 \times 2} + \frac{ 3}{4} \\ = \frac{2x + 3}{4} [/tex]

Clearly,

[tex]2x + 3≠ \frac{2x + 3}{4} \\✒ \: L.H.S.\:≠\:R. H. S. [/tex]

[tex]\boxed{Therefore,\:the\:two\:expressions \:are\:not\:equivalent.}[/tex]

To make them equivalent, Sara can simply divide L. H. S. by 4.

By doing so, she'll have

[tex] \frac{2x + 3}{4} = \frac{2x + 3}{4} \\ ๛L.H.S.=R. H. S[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{!}}}}}[/tex]

We appreciate every question and answer you provide. Keep engaging and finding the best solutions. This community is the perfect place to learn and grow together. For clear and precise answers, choose IDNLearn.com. Thanks for stopping by, and come back soon for more valuable insights.