Question

Solve the system of equations below by graphing. y=x^2-3.5x+2.2 y=2x-5.3625 What is the solution rounded to the nearest tenth? (–1.1, 3.2) (0.2, 2.8) (0.7, –4.2) (2.8, 0.1)

Answer 1

Answer:

The solution to the given system of equations is (2.8,0.1)

Step-by-step explanation:

We have been given the system of equations

$y=x^2-3.5x+2.2........(1)\\y=2x-5.3625 .....(2)$

Let us graph these equation on the xy-plane. The intersection point of these two curves will give us the solution of the system of equations.

Equation 1 represents a parabola and equation (2) represents a straight line.

The graph is shown in the attached file.

The intersection point of the parabola and the line is (2.75,0.137).

When rounded to nearest tenth, we get (2.8,0.1)

The solution to the given system of equations is (2.8,0.1)