10m-n = 6m+4n, then find the value of m²/n²
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Step-by-step explanation:
10m-n=6m+4n
10m-6m=4n+n
4m=5n
m÷n=5÷4
m2÷n2=25÷16
Answered by
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Given : 10m - n = 6m + 4n
To Find : m²/ n²
Solution :
∴ 10m - n = 6m + 4n
∴ - n - 4n = 6m - 10m
∴ - 5n = - 4m
[ minus sign gets cancelled on both sides ]
∴ 5n = 4m
∴ m/ n = 5/ 4 (∴ m = 5, n = 4)
By Substituting the values of m & n,
&
[ By squaring both the sides ]
∴ m²/ n² = 5² / 4²
= 25 / 16
∴ The value of m²/ n² = 25/16.
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