Chapter 8, Problem 13STP

To determine

The solution of the set of sytem equations:

  $\begin{array}{l}4x+2y=-6\\ y=-5x\end{array}$

Answer to Problem 13STP

The solution of the set of sytem equations $4x+2y=-6,y=-5x$ is $x=1,y=-5$

Explanation of Solution

Given:

  $\begin{array}{l}4x+2y=-6\\ y=-5x\end{array}$

Concept Used:

The slope-intercept form equation is given as:

  $y=mx+b$

Where,

Slope: $m$

  $y$ -intercept: $b$

Calculation:

Now, the given eqns. are:

  $4x+2y=-6$..... (1)

  $y=-5x$..... (2)

Now put the value of $y=-5x$ into the dirst eq.

  $\begin{array}{l}4x+2y=-6\\ 4x+2\left(-5x\right)=-6\\ 4x-10x=-6\\ -6x=-6\\ x=1\end{array}$

So, the value $x=1$ put in eq. (2) to clculate teh value of $y$ :

  $\begin{array}{l}y=-5x\\ y=-5\times 1\\ y=-5\end{array}$

Hence, the values are derived as $x=1,y=-5$

Conclusion:

So, the solution of the given eq. Sets is $x=1,y=-5$