Respuesta :

Answer:

The correct answer is (-5,-5)

Step-by-step explanation:

1. Both of the equations are in standard form, so first you set them equal to each other.

2. Solve for x as a normal algebraic equation.

3. Back substitute your answer for x into one of the original equations. (back substitution is just putting the x back into the equation and solving for y.)

4. Now you have your x and y coordinates, and the point of intersection of the two lines.

The ordered pair represents the solution to the system is (-5, -5), and the correct option is A.

What is the ordered pair?

A pair of numbers that are written in a particular order, enclosed in brackets are known as ordered pairs.

The given system of equation is;

y = 3x + 10

y = 5x +20

Subtraction equation 1 from 2

y - y = 3x + 10 - 5x -20

0 = -2x -10

2x = -10

x = -10/2

x = -5

Substitute the value of x in equation 1

y = 3x + 10

y = 3(-5) +10

y = -15 +10

y = -5

Hence, the ordered pair represents the solution to the system is (-5, -5), and the correct option is A.

Learn more about ordered pairs here;

https://brainly.com/question/14220121

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