Chapter 11, Problem 8MS

To determine

To find: The solution of the given equations.

Answer to Problem 8MS

The solution of the given equations is $x=-10,y=10$ .

Explanation of Solution

Given information:

The equation is $y-x=20,2x+3y=10$ .

Calculation:

Consider the equations.

  $\begin{array}{l}y-x=20\\ y=x+20\end{array}$ ..... (1)

Consider the equations.

  $2x+3y=10$ ..... (2)

Put the value of y in equation (2)

  $\begin{array}{l}2x+3(x+20)=10\\ 2x+3x+60=10\\ 5x+60=10\\ 5x=-50\\ x=-10\end{array}$

Substitute $x=-10$ in equation.(2)

  $\begin{array}{l}2(-10)+3y=10\\ -20+3y=10\\ 3y=30\\ y=10\end{array}$

Thus, the solution of equation is $$

  $x=-10,y=10$ .