The estimated solution is (0,0 ).
The algebraic solution is (
Step-by-step explanation:
We need to solve the system of equations:

Solving using Elimination method
Let: 
Multiply eq(1) by 4 and add eq(1) and eq(2)

So, value of x is
Converting into whole number: x=0
Now finding value of y
Putting value of x into eq(1)

So, value of y is
Converting into whole number: y=0
The estimated solution is (0,0 ).
The algebraic solution is (
Keywords: System of equations
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Answer: La ecuación de la recta que pasa por los puntos (-3, 2) y (-5, 8) es 3x + y + 7 = 0.
Answer:
The vertex is the point (-1,11). is a maximum
Step-by-step explanation:
we know that
The equation of a vertical parabola in vertex form is equal to

where
(h,k) is the vertex
a is a coefficient
if a > 0 the parabola open upward and the vertex is a minimum
if a < 0 the parabola open downward and the vertex is a maximum
we have

Convert to vertex form
Complete the square

Factor the leading coefficient



Rewrite as perfect squares


The vertex is the point (-1,11)
The coefficient a=-5
so
a < 0 the parabola open downward and the vertex is a maximum