Chapter 0, Problem 50PG

To determine

To solve the system of equation

Answer to Problem 50PG

The equation has no solution

Explanation of Solution

Given information:

  $\begin{array}{l}2c+6d=14\\ -\frac{7}{3}+\frac{1}{3}c=-d\end{array}$

Calculation:

Let equations be (1) and (2) respectively,

Taking (2),

  $-\frac{7}{3}+\frac{1}{3}c=-d$

Rearranging,

  $d=\frac{7}{3}-\frac{1}{3}c$ (1)

Put d in (1)

  $2c+6(\frac{7}{3}-\frac{1}{3}c)=14$

Solving,

  $2c+2(7-c)=14$

It is observed that c is cancelled out, hence the equation has no solution.