SOLUTION: Rewrite the equation as a function of x. -3x + 4y = 11

Question 70356: Rewrite the equation as a function of x.
-3x + 4y = 11
Answer by bucky(2189) (Show Source): You can put this solution on YOUR website!
Given
.
To rewrite this as a function of x, you need to do two things ... first solve for y and then
replace y by f(x).
.
First solve for y. You need to move the -3x to the other side of the equation. You can
do that by adding 3x to both sides. On the left side the +3x cancels the -3x, and on the
right side the +3x appears. You now have:
.

.
You can now solve for just +y by dividing both sides by the coefficient (or multiplier)
of y. In this case the coefficient of y is +4, so divide both sides of the equation
by +4. The result is:
.

.
This simplifies to:
.

.
As the final step you replace y by f(x) to end up with:
.

.
and this has re-written the original equation (that was in standard form) into the form
of a function of x (denoted by f(x))
.
Hope this helps you to see how to do problems of this sort. Just follow the two-step
process ... first solve in for y in terms of x and then replace y by the notation f(x).

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