Question

Y= -2/3x - 2 2x + y = 2 Find the solution of the systems of linear equation by graphing

Answer 1

Answer:

x = 3, y = -4

Explanations:

The given system of linear equations is:

$\begin{gathered} y\text{ = }\frac{-2}{3}x\text{ - 2}\ldots\ldots\ldots\ldots.(1) \\ 2x\text{ + y = 2}\ldots\ldots\ldots\ldots\text{.}\mathrm{}(2) \end{gathered}$

The graph representing the equations is plotted below:

$\begin{gathered} \text{The red line represents y = }\frac{-2}{3}x\text{ -2} \\ \text{The blue line represents 2x + y = 2} \end{gathered}$

The point where both lines intersect is the solution to the system of equations.

The lines intersect at the point (3, -4), therefore, (3, -4) is the solution to the system of equations