One way to solve a system of equations is by elimination. We can take one equation and subtract the other equation from it to cancel out on of the variables making the equation into something we can solve. In this case the Y's will cancel out because we have 1 Y in each equation
-4x+y=-2
6x+y=-5 subtract
-4x-6x=-10x
y-y=0
-2-(-5)=3
so our equation is -10x=3 and we can solve for x giving us x=-3/10
now we can plug -3/10 in for x into either of the original equations and solve for Y
y+5=-6(-3/10)
y+5=9/5
y=-16/5
so our answer is (-3/10,-16/5)
I hope this helps and please don't hesitate to ask if there is anything still unclear!
The length of the diagonal of the square is the square root of 32 which equals approximately 5.6569. The length from the corner to the center of the square is half of the diagonal which is 2.8284. I hope this helps!
