Chapter 6.3, Problem 6P

Solve each system using elimination.

$x+2y=-4$

$x+y=2$

To determine

Solve the system $x+2y=-4\text{ and }x+y=2$ using elimination method.

Answer to Problem 6P

The solution for the given equations is $x=8\text{and }y=-6$ .

Explanation of Solution

Given information: The given equations are,

  $\begin{array}{c}x+2y=-4\mathrm{....}\left(1\right)\\ x+y=2\mathrm{....}\left(2\right)\end{array}$

Calculation: Subtract (2) from (1) gives $y=-6$ .

Substitute $y=-6$ in (2) and simplify,

  $\begin{array}{c}x+\left(-6\right)=2\mathrm{....}\left(\text{For }y=-6\right)\\ x-6=2\\ x=8\end{array}$

Hence the solution for the given equations is $x=8\text{and }y=-6$ .