Chapter 6.3, Problem 33PPE

To determine

To calculate: solution of system using any method

Answer to Problem 33PPE

  $x=2,y=0$

Explanation of Solution

Given information:

  $\begin{array}{l}2x+y=4\\ 6x+7y=12\end{array}$

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,

  $\therefore 6x+7(4-2x)=12$

  $x=2$

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

  $\therefore y=0$