Question

ear Equations Question 1 of 5 Find the solution to the following system using substitution or elimination: y = 3x + 2 y = -2x - 8 O A. (-3, -8 OB. (1,-6) C. (-2,-4) OD. (-3. - 31

Answer 1

$\begin{gathered} \text{Let:} \\ y=3x+2\text{ (1)} \\ y=-2x-8\text{ (2)} \\ (1)-(2) \\ y-y=3x-(-2x)+2-(-8) \\ 0=5x+10 \\ 5x=-10 \\ x=-\frac{10}{5} \\ x=-2 \\ \text{ replace x into (1)} \\ y=3(-2)+2 \\ y=-6+2 \\ y=-4 \\ \text{Answer:} \\ C\mathrm{}(-2,-4) \end{gathered}$