Mathematics: Solve. {m+n=5m−n=3 use the substitution method.

Solve. {m+n=5m−n=3 use the substitution method.

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16.01.2022

The values of m and n are m=4 and n=1

Explanation:

The two equations are m+n=5 and m-n=3

From the equation m-n=3 , we shall find the value of m such that

m=n+3

Substituting the value of m in m+n=5 , we get,

$\begin{array}{r}{n+3+n=5} \\{2 n+3=5}\end{array}$

Subtracting both sides by 3,

2n=2

Dividing both sides by 2, we get,

n=1

Substituting n=1 in m-n=3

$\begin{array}{r}{m-1=3} \\{m=4}\end{array}$

Thus, the values of m and n are m=4 and n=1

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