What is the solution of the linear-quadratic system of equations y=x^2 5x-3 x-y=2?

we have

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we know that

The system solution will be the points of intersection of both graphs

Using a graph tool

see the attached figure

the solution are the points

The solution of the linear-quadratic system of equations and are and

Further explanation:

Given:

The linear equation is x - y = 2.

The quadratic equation is y = {x^2} + 5x – 3.

Explanation:

The given linear equation is x - y = 2.

The given quadratic equation is y = {x^2} + 5x – 3.

Solve the linear equation x - y = 2.

Substitute x-2 for y in quadratic equation.

Solve the quadratic equation

Now find the value of discriminant.

The value of can be obtained as follows,

The first value of x can be calculated as follows,

The value of y can be obtained as follows,

The second value of x can be obtained as follows,

The value of y can be obtained as follows,

Hence, the solution of the linear-quadratic system of equations and are and

Learn more:

1. Learn more about inverse of the

2. Learn more about equation of circle

3. Learn more about range and domain of the function

Answer details:

Grade: High School

Subject: Mathematics

Chapter: Quadratic Equation

Keywords: polynomial, solution, linear equation, quadratic equation, system of equations, solution of the equations.

step-by-step explanation:

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