Chapter 11, Problem 3MS

To determine

To find: The solution of the given equations.

Answer to Problem 3MS

The solution of the given equations is $x=5,y=5$ .

Explanation of Solution

Given information:

The equation is $2x+y=15,x+2y=15$ .

Calculation:

Consider the equations.

  $2x+y=15$ ..... (1)

Consider the equations.

  $x+2y=15$ ..... (2)

Multiply by 2 in equation (1) and subtract equation (2).

  $\begin{array}{l}\underset{\_}{\begin{array}{c}4x+2y=30\\ x+2y=15\end{array}}\\ 3x=15\\ x=5\end{array}$

Substitute $x=5$ in above equation.

  $\begin{array}{c}2\left(5\right)+y=15\\ y=15-10\\ y=5\end{array}$

Thus, the solution of equation is $x=5,y=5$ .