Chapter SH, Problem 6.5.15EP

To determine

To calculate: The solution of the given equation.

Answer to Problem 6.5.15EP

The required values of the number are $2.13,1.55$ .

Explanation of Solution

Given information:

The given equations are:

  $17x+8y=-4$ .

  $-8x-2y=9$

Calculation:

Consider the given information:

  $17x+8y=-4$......(1)

  $-8x-2y=9$......(2)

The equation can be easily solved by elimination method.

Multiply equation (2) by $4$ .

  $-32x-8y=36$

Add equation (1) and (2).

  $\begin{array}{l}17x+8y=-4\\ \underset{\_}{-32x-8y=36}\\ -15x=32\\ x=\frac{32}{15}\\ =2.13\end{array}$

Substitute the value in equation (2).

  $\begin{array}{c}-8\times 2.13-2y=9\\ -17.04-2y=9\\ 11y=-17.04\\ y=1.55\end{array}$

Hence, the values of the number are $2.13,1.55$ .