-3x+4y=11

That is an equation. What is the question?

I need to rewrite the function of x in the equation -3x+4y=11

Is f(x) = 3 over 4x + 11 over 4 the correct answer? 3 over 4 is a fraction and 11 over 4 is a fraction.

You want y = f(x)

4 y = 11 + 3x
y = f(x) = (3/4)x + 11/4

now you have y alone on the left and a function of x on the right.

The given equation is -3x + 4y = 11.

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

1. Solve one equation for one variable:
Let's solve -3x + 4y = 11 for x:
-3x = 11 - 4y
Divide both sides by -3:
x = (11 - 4y) / -3

2. Substitute the value of x in the other equation:
Substitute x = (11 - 4y) / -3 into the other equation involved in the system.

For example, if there is another equation given, let's say 2x + y = 5:
Substitute x = (11 - 4y) / -3 into 2x + y = 5:
2((11 - 4y) / -3) + y = 5
Simplify the equation using the distributive property:
(22 - 8y) / -3 + y = 5

3. Simplify and solve for y:
To simplify the equation, multiply every term by -3 to get rid of the fraction:
(22 - 8y) + (-3y) = -15
Simplify and combine like terms:
22 - 8y - 3y = -15
22 - 11y = -15
Move the constant term to the other side of the equation:
22 = -15 + 11y
22 = 11y - 15
Add 15 to both sides:
37 = 11y
Divide both sides by 11:
y = 37 / 11
Simplify:
y = 3.36 (rounded to two decimal places)

4. Substitute the value of y back into one of the original equations to solve for x:
Using the equation -3x + 4y = 11, substitute y = 3.36:
-3x + 4(3.36) = 11
Simplify:
-3x + 13.44 = 11
Move the constant term to the other side:
-3x = 11 - 13.44
-3x = -2.44
Divide both sides by -3:
x = -2.44 / -3
Simplify:
x = 0.813 (rounded to three decimal places)

Therefore, the solution to the given equation is x = 0.813 and y = 3.36.