Final answer:
The solution to the system of equations 2x-4y=20 and x=4 is found by substituting x=4 into the first equation and solving for y, resulting in the pair (4, -3).
Step-by-step explanation:
To solve the system of equations given by 2x-4y=20 and x=4, we start by substituting the value of x from the second equation into the first equation:
- 2(4) - 4y = 20
- 8 - 4y = 20
- -4y = 20 - 8
- -4y = 12
- y = 12 / (-4)
- y = -3
Now we have found the value of y. Since we already have the value of x from the second equation, we can write the solution as the ordered pair (x, y) which is (4, -3). Hence, the solution to the system of equations is the pair that makes both equations true.