Answered

Which ordered pair is the best estimate for the solution of the system of equations?


y=−25x−2y=5x+1


A.

(0, −2)


B.(−0.5, −1.75)


C.(−1, −2)


D.(−0.5, −1)

Verified Answer :

Answer:

Hello im like 3 years late to this but your answer would be B for future people who will look up this question Hope it helps!

You can use the method of substitution to solve the given linear system of equations.

The ordered pair which best estimates the solution of the system of the equations given is given by

Thus, the solution of the equation is given by

\(x = -0.1\\y = 0.5\)

How to find the solution to the given system of equations?

We can use substitution in which we substitute value of one variable from one equation in other equation.

The system of equation given to us is

\(y = -25x -2\\y = 5x + 1\)

Putting value of y from first equation in second equation, we get:

\(-25x - 2 =5x + 1\\\\\text{Adding 2 - 5x on both the sides}\\-25x - 2 + 2 - 5x = 5x + 1 + 2 - 5x\\-30x = 3\\x = -\dfrac{3}{30} = -\dfrac{1}{10} = -0.1\)

Putting this value of x in any of the given equation(let we put it in second equation), we get:

\(y = 5x + 1\\y =5 \times -0.1 + 1\\y = -0.5 + 1 = 0.5\)

Thus, the solution of the equation is given by

\(x = -0.1\\y = 0.5\)

Learn more about system of linear equations here:

https://brainly.com/question/13722693

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