Chapter SH, Problem 6.5.10EP

To determine

To calculate: The solution of the given equation.

Answer to Problem 6.5.10EP

The required values of the number are $0.285,0.286$ .

Explanation of Solution

Given information:

The given equations are:

  $-13x+8y=-6$ .

  $3x-4y=2$

Calculation:

Consider the given information:

  $-13x+8y=-6$......(1)

  $3x-4y=2$......(2)

The equation can be easily solved by elimination method.

Multiply equation (2) by $2$ .

  $6x-8y=4$

Add equation (1) and (2).

  $\begin{array}{l}-13x+8y=-6\\ \underset{\_}{6x-8y=4}\\ -7x=-2\\ x=\frac{2}{7}\\ =0.285\end{array}$

Substitute the value in equation (2).

  $\begin{array}{c}3\times 0.285-4y=2\\ 0.855-4y=2\\ -4y=1.145\\ y=0.286\end{array}$

Hence, the values of the number are $0.285,0.286$ .