Chapter 0, Problem 54PFG

To determine

To solve the system of equations

Answer to Problem 54PFG

  $x=2$ and $y=4$ is the solution of system of equation.

Explanation of Solution

Given information:

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

Calculation:

Let equations be (1) and (2) respectively

Taking (1),

  $y=2x$

Put in (2)

  $2x=-x+6$

Solving,

  $3x=+6$

Dividing by 3,

  $x=2$

Put value of x in (1)

  $y=2(2)$

Hence, $x=2$ and $y=4$ is the solution of system of equation.