Question

Solve.

{m+n=5m−n=3

Use the substitution method.

Answer 1

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 $n=1$