Question

Solve this system of equations. What (x, y) pair make these equations true?
{2x-4y=20
x=4

Answer 1

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.