Question

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

Answer 1

Answer:

A. (-2,1)

Step-by-step 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 :)

Answer 2

Answer:

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

Step-by-step explanation:

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