Chapter 8, Problem 52SGR

To determine

To solve: the given system of equations by substitution

Answer to Problem 52SGR

The solution of the equation is (-3,0).

Explanation of Solution

Given:

Consider the equation:

  $\begin{array}{l}y=2x+6\\ y=0\end{array}$

Calculation:

First step is to replace y with 0 in the first equation.

  $0=2x+6$

Subtract both sides of equation by 6.

  $\begin{array}{l}0-6=2x+6-6\\ -6=2x\end{array}$

Divide both sides of equation by 2.

  $\begin{array}{l}\frac{-6}{2}=\frac{2x}{2}\\ -3=x\end{array}$

Conclusion:

Therefore, the solution of the equation is (-3,0).