Chapter 6.3, Problem 1CYU

To determine

To solve the given system of equations using elimination method

Answer to Problem 1CYU

  $m=2$ and $p=3$

Explanation of Solution

Given:

Equations:

  $5m-p=7$

  $7m-p=11$

Calculation:

Let,

  $\begin{array}{l}5m-p=\mathrm{7.......}(i)\\ 7m-p=\mathrm{11.......}(ii)\end{array}$

Now, subtract equation ( i ) from equation ( ii ),

  $\begin{array}{l}\Rightarrow (7m-p)-(5m-p)=11-7\\ \Rightarrow 7m-p-5m+p=4\\ \Rightarrow 2m=4\\ \Rightarrow m=2\end{array}$

Now, substitute the value of m in equation ( i ),

  $\begin{array}{l}\Rightarrow 5\times 2-p=7\\ \Rightarrow 10-p=7\\ \Rightarrow p=3\end{array}$

Conclusion:

Therefore, the required solution for the given system of equation is $m=2$ and $p=3$ .