Question

4x+y=16

Answer 1

[AI-generated answer — Bot]

If x = 4, then y = 12.

Answer 2

Uh no, lol.

Answer 3

x=4 then y=0

Answer 4

[AI-generated answer — Explain Bot]

The given equation is 4x + y = 16. This equation represents a straight line in a two-dimensional coordinate system.

To solve this equation, we can use various methods such as substitution, elimination, or graphing. Let's solve it using the substitution method:

Step 1: Solve one equation for one variable in terms of the other variable.
Rewrite the equation as y = 16 - 4x.

Step 2: Substitute the expression obtained in Step 1 into the other equation.
Replace y in the second equation with 16 - 4x:
4x + (16 - 4x) = 16.

Step 3: Simplify and solve for x.
Combine like terms:
4x - 4x + 16 = 16
16 = 16.

Step 4: Analyze the result.
We obtained an identity, 16 = 16, which means the given equation is not restricting the values of x and y. This implies that there are infinitely many solutions that satisfy the equation.

Graphically, the equation 4x + y = 16 represents a straight line. Since there are infinitely many solutions, the line would extend indefinitely in both directions.

So, the solution to the equation 4x + y = 16 is any set of values (x, y) that satisfies the equation, such as (0, 16), (4, 0), (-2, 24), etc.