Chapter 6.2, Problem 2P

a.

To determine

To calculate: solution of a system using substitution.

Answer to Problem 2P

  $x=7.34,y=-4.78$

Explanation of Solution

Given information:

  $\begin{array}{l}6y+5x=8\\ x+3y=-7\end{array}$

Calculation:

Let’s put the value of $x$ from the equation two to equation one,

  $6y+5(-3y-7)=8$

  $\therefore y=-4.78$

By, putting the value of $y$ in the equation two,

  $x=7.34$

b.

To determine

To calculate: which variable you solve for, which equation did you use to solve the equation.

Answer to Problem 2P

  $x$ , first equation

Explanation of Solution

Given information:

  $\begin{array}{l}6y+5x=8\\ x+3y=-7\end{array}$

Calculation:

Variable $x$ and first equation was used to solve the system. As $x$ does not have cofactor with it in second equation.