Question

Find the solution to the system of equations.You can use the interactive graph below to find the solution.y= -4x-3y=-2x+1x=___y=___

Answer 1

Given:

$\begin{gathered} y=-4x-3\ldots(1) \\ y=-2x+1\ldots(2) \end{gathered}$

Equate (1) and (2).

$\begin{gathered} y=y \\ -4x-3=-2x+1 \\ -2x+4x=-3-1 \\ 2x=-4 \\ x=\frac{-4}{2} \\ x=-2 \end{gathered}$

Substitute x=-2 in the expression (1).

$\begin{gathered} y=-4\times(-2)-3 \\ y=8-3 \\ y=5 \end{gathered}$

Thus, the solution equation is x=-2 and y=5.