Chapter 0, Problem 55PFG

To determine

To solve the system of equations

Answer to Problem 55PFG

  $x=0$ and $y=-4$ are the system of equation.

Explanation of Solution

Given information:

  $\begin{array}{l}-3x-y=4\\ 4x+2y=-8\end{array}$

Calculation:

Let the equations be (1) and (2) respectively

Taking (1),

  $-3x-y=4$

Rearranging,

  $y=-4-3x$ (1)

Put y in (2),

  $4x+2(-4-3x)=-8$

Solving,

  $4x-8-6x=-8$

Adding 8 to both sides,

  $4x-8-6x+8=-8+8$

now,

  $4x-6x=0$

so,

  $x=0$

put value of x in (3)

  $y=-4-3(0)$

Solving,

  $y=-4-0$

Hence, $x=0$ and $y=-4$ are the system of equation.