Question

Choose the method (graphing, substitution, or elimination) that is best to solve each system.

Answer 1

Solution:

We will solve the system of equation by substitution method

$\begin{gathered} y=3-x------------(1) \\ 5x+3y=-1-----------(2) \end{gathered}$$\begin{gathered} Substitute\text{ y=3-x into equation \lparen2\rparen} \\ 5x+3(3-x)=-1 \\ 5x+9-3x=-1 \\ 2x+9=-1 \\ 2x=-1-9 \\ 2x=-10 \\ x=-\frac{10}{2} \\ x=-5 \end{gathered}$

Substitute x = -5 into equation (1)

$\begin{gathered} y=3-(-5) \\ y=3+5 \\ y=8 \end{gathered}$

Thus, x = -5, y= 8