Question

What is The solution to the system of equations and graph below

Answer 1

(-2 ,1)=(x, y)

Explanation:

`\begin{bmatrix}y=(1)/(2)x+2\\ y=-2x-3\end{bmatrix}\\\\\mathrm{Subsititute\:}y=-2x-3\\\\\begin{bmatrix}-2x-3=(1)/(2)x+2\end{bmatrix}\\\\Isolate\:x\:for : \\-2x-3=(1)/(2)x+2\: :x=-2\\\\\mathrm{For\:}y=-2x-3\\\\\mathrm{Subsititute\:}x=-2\\\\y=-2\left(-2\right)-3\\\\y= 4-3\\\\y=1\\\\y=1,\:x=-2`

Answer 2

A. (-2,1)

Explanation:

The blue point on the graph represent the coordinates where the two lines intersect or meet, and that means it is the solution of the equation.

Hope this helps :)