Question

1 is added to the numerator and 2 is subtracted from the denominator, a fraction becomes 1/2. If the numerator and denominator are x and y respectively, then the correct equation to represent the statement is​

Answer 1

Answer:

Step-by-step explanation:

Answer 2

Given : The numerator and denominator are x and y respectively & If 1 is added to the numerator and 2 is subtracted from the denominator, a fraction becomes ½ .

Need To Find : The Equation that represents a statement for fraction ?

⠀⠀⠀⠀⠀━━━━━━━━━━━━━━━━━━━━━━━━━━━━⠀

⠀⠀⠀⌬⠀ Numerator of a fraction is x &

⠀⠀⠀⌬⠀ Denominator of a fraction is y .

$\\\qquad \:\:\bigstar \:\:\underline {\pmb{\pink {\boldsymbol {\:\: According \:\:To\:\:The \:\:Question \:\::\:}}}}\:$

⠀⠀⠀▪︎ If 1 is added to the numerator and 2 is subtracted from the denominator, a fraction becomes ½ .

$\\ :\implies \:\sf \bigg\{ \dfrac{ Numerator \:+\:1\:}{Denominator \:-\:2}\:\bigg\} \:=\:\dfrac{1}{2}\:$

$:\implies \:\sf \bigg\{ \dfrac{ x \:+\:1\:}{ y \:-\:2}\:\bigg\} \:=\:\dfrac{1}{2}\:$

$:\implies \:\sf\:2\: \Big\{ x \:+\:1\:\Big\}\:\:=\:\:1\:\Big\{ y \:-\:2\:\Big\} \:\:$

$:\implies \:\sf\:\: \Big\{ 2x \:+\:2\:\Big\}\:\:=\:\:\Big\{ y \:-\:2\:\Big\} \:\:$

$:\implies \:\sf\:\: 2x \:+\:2\:\:=\:\: y \:-\:2\:\:\:$

$:\implies \:\sf\:\: 2x \:+\:2\:-\:y\:+\:2\:\:=\:\:0\:\:\:\:$

$:\implies \:\sf\:\: 2x \:\:-\:y\:+\:4\:\:=\:\:0\:\:\:\:$

$:\implies \pmb {\underline {\boxed {\purple {\:\frak{ \:Eq^n\:\:=\:2x\:-\:y\:+\:4\:=\:0\:}}}}}\:\bigstar \:$

∴ Hence , The Required Equation for the given statement is 2x - y + 4 = 0 .