Question

Which ordered pair is a solution of the system of equation y=x-4

Which ordered pair is a solution of the system of equation y=4x

Answer 1

To find the solution to the system of equations, substitute the value of y from the second equation into the first equation, set the resulting equation equal to zero and solve for x, then substitute the value of x back into the second equation to find the corresponding value of y.

Step-by-step explanation:

The system of equations is:

y = x - 4

y = 4x

To find the ordered pair that is a solution to this system:

1. Substitute the value of y from the second equation into the first equation.
2. Set the resulting equation equal to zero and solve for x.
3. Substitute the value of x back into the second equation to find the corresponding value of y.

For example, let's substitute 4x for y in the first equation:
y = x - 4 => 4x = x - 4

By subtracting x from both sides and adding 4 to both sides, we get: 3x = 4

Dividing both sides by 3, x = 4/3.

Substituting this value of x back into the second equation, y = 4(4/3) = 16/3.

Therefore, the ordered pair (4/3, 16/3) is a solution to the system of equations.

Answer 2

There are many solutions, probably too many to list