Chapter ISG, Problem 6.6STP

To determine

To select points that are solution

Answer to Problem 6.6STP

(-5, -16) is the correct answer

Explanation of Solution

Given information:

  $\begin{array}{l}2y-5x>-7\\ y\le 3x-1\end{array}$

Calculation:

For solving the inequalities,

  $2y-5x=-7$

  $y=3x-1$

Rearranging the equations,

  $2y-5x=-7$ _________________(1)

And

  $3x-y=1$ ____________________(2)

Taking (2),

  $3x-y=1$

Rearranging,

  $y=3x-1$ _______________(3)

Put y in (1)

  $2(3x-1)-5x=-7$

Solving,

  $6x-2-5x=-7$

Now,

  $x=-7+2$

So,

  $x=-5$

Put value of x in (3),

  $y=3(-5)-1$

Solving,

  $y=-15-1$

Hence, $y=-16$ and $x=-5$

So, (-5, -16) is the correct answer.