Finish solving the system of equations, y = 7x – 3 and y = –x + 5, using the substitution method. 1. Use substitution to create a one-variable linear equation: 7x – 3 = –x + 5.

2. Solve to determine the unknown variable in the equation: 8x = 8

x = 1

3. Substitute the value of the variable into either original equation to solve for the other variable.

4. Write the solution to the system of equations as an ordered pair.

The solution to the system is

1. Use substitution to create a one-variable linear equation: 7x – 3 = –x + 5.

4. Write the solution to the system of equations as an ordered pair.

Explanation:

Given the following algebraic expressions;

y = 7x - 3  equation 1

y = -x + 5  equation 2

To solve the system of equations simultaneously using the substitution method;

First of all, we would use substitution to create a one-variable linear equation.

7x – 3 = –x + 5

Rearranging the equation (collecting like terms), we have;

7x + x = 5 + 8

8x = 13

x = 13/8

To find the value of y;

y = -x + 5

y = -13/8 + 5

y = (-13 + 40)/8

y = 27/8

Finally, we would write the solution to the system of equations as an ordered pair; (13/8, 27/8)

Therefore, the solution to the system is (13/8, 27/8)

citations

explanation:

in ray bradbury's short story "a sound of thunder", mr. eckels's fearfulness leads to drastic consequences for the rest of the world.

in the story, mr. eckels, who is a hunter, hires a time travel company to travel to the age of dinosaurs. although he is excited for the hunting expedition at the beginning, when they reach there and mr. eckels sees the tyrannosaurus, he feels frightened. as he is afraid of the tyrannosaurus, he steps off the path although he has been warned not to do it. by stepping off the path, the entire course of the future is affected: mr. eckart alters the future by stepping on a butterfly, which causes a new man to be elected president in the future. in that way, it is mr. eckart's fearfulness what triggers 'the butterfly effect' and what leads to drastic consequences for the rest of the world.