Question

Y upon y+10 ie equal to 5 upon 12

Answer 1

hey mate :-

given here

(y/y+10)= 5/12

Solution :-

(y/y+10)= 5/12

=> (y/y+10)=5/12

=>12y = 5(y+10)

=> 12y = 5y +50

=>(12-5)y = 50

=> 7y = 50

=> y = 50/7

=> y = 50/7

i hopes its helps u

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Answer 2

Answer:

$\dfrac{y}{y+10}=\dfrac{5}{12}\quad :\quad y=\dfrac{50}{7}\quad \left(\mathrm{Decimal}:\quad y=7.14286\dots \right)$

Step-by-step explanation:

$\dfrac{y}{y+10}=\dfrac{5}{12}$

$\gray{\mathrm{Apply\:fraction\:cross\:multiply:\:if\:}\dfrac{a}{b}=\dfrac{c}{d}\mathrm{\:then\:}a\cdot \:d=b\cdot \:c}$

$y\cdot \:12=\left(y+10\right)\cdot \:5$

$\gray{\mathrm{Expand\:}\left(y+10\right)\cdot \:5:\quad 5y+50}$

$y\cdot \:12=5y+50$

$\gray{\mathrm{Subtract\:}5y\mathrm{\:from\:both\:sides}}$

$y\cdot \:12-5y=5y+50-5y$

$\gray{\mathrm{Simplify}}$

$7y=50$

$\gray{\mathrm{Divide\:both\:sides\:by\:}7}$

$\dfrac{7y}{7}=\dfrac{50}{7}$

$\gray{\mathrm{Simplify}}$

$y=\dfrac{50}{7}$