Chapter 6.3, Problem 32PPE

To determine

To calculate: solution of system using any method

Answer to Problem 32PPE

  $x=4,y=10$

Explanation of Solution

Given information:

  $\begin{array}{l}y=2.5x\\ 2y+3x=32\end{array}$

Calculation:

Here, substitution method will be easier, as there is no co-factor of $y$ in first equation so we can directly put it into second equation by substitution.

Let’s substitute $y$ from first equation to the second equation,

  $\therefore 2(2.5x)+3x=32$

  $x=4$

Let’s put the value of $x$ in first equation,

  $\therefore y=10$