Question

4m + 6 = 54 ; 3m + 2n = 28​

Answer 1

Answer:

n = -2 and m = 12 are the correct answer

Answer 2

$\sf\underline\green{Given:-}$

$\sf 4m+6n=54 ...(1)$

$\sf 3m+2n=28 ...(2)$

$\sf\underline\green{To Find:-}$

$\sf Value \:\: of \:\: m \:\: and \:\:n=?$

$\sf\green{ Method \:\: Used:- }$

$\sf Substitution \:\: method$

$\sf\underline\green{Solution:-}$

$\sf From \:\: equation \:\: 2$

$\sf 3m+2n=28$

$\sf n=\frac{28-3m}{2} ...(3)$

Substituting value of n in equation 1,

$\sf 4m+6 \frac{28-3m}{2} =54$

$\sf 4m+\frac{168-18m}{2}=54$

$\sf \frac{-10m+168}{2}=54$

$\sf -10m+168=108$

$\sf -10m=-60$

$\sf m=\frac{-60}{-10}$

$\sf\red{\boxed{ m=6 }}$

Substituting value of m in equation 2,

$\sf 3m+2n=28$

$\sf 3(6)+2n=28$

$\sf 18+2n=28$

$\sf 2n=28-18$

$\sf 2n=10$

$\sf n=\frac{10}{2}$

$\sf\red{\boxed{ n=5}}$

$\sf\purple{\boxed {m=6 \:\: and \:\: n=5}}$