Chapter 4.5, Problem 75S

To determine

To find: The graph for the given function.

Answer to Problem 75S

The solution of the given set of equation is $\left(\frac{79}{25},\frac{-56}{25}\right)$ .

Explanation of Solution

Given:

The given equations are $4y+6x=10$ and $2x-7y=22$ .

Calculation:

Consider the given equations are,

  $\begin{array}{l}4y+6x=10\\ 2x-7y=22\end{array}$

Multiply both sides of the above equation $4y+6x=10$ by 7 and equation $2x-7y=22$ by 4 as,

  $\begin{array}{l}28y+42x=70\\ -28y+8x=88\end{array}$

Subtract the above equation as,

  $\begin{array}{l}28y+42x-28y+8x=70+88\\ 50x=158\\ x=\frac{79}{25}\end{array}$

Then, substitute $x=\frac{79}{25}$ in the equation $4y+6x=10$ as,

  $\begin{array}{l}4y+6\left(\frac{79}{25}\right)=10\\ y=\frac{-56}{25}\end{array}$

Thus, the solution of the given set of equation is $\left(\frac{79}{25},\frac{-56}{25}\right)$ .