What is the value of x in the equation 3×-4y=65, when y=4?

x = 27

Step-by-step explanation:

1. Plug in the y:

3x - 4(4) = 65

2. Simplify

3x - 16 = 65

3. Switch the sign of the 16 and move it to the other side of the equal sign.

3x = 81

4. Divide the 3 on both sides

3x/3 (cancels out)

81 / 3

x = 27

5. Plug the x value in with the y value to double check your answer.

3(27) - 4(4) = 65

81 - 16 = 65

X = 27

3x-4(4)=65

3x-16=65

+16 +16

3x=81

/3 /3

X =27

1 number

if we use a graphing calculator, there is only one such number that satisfies the conclusion of the mean value theorem, that is, a number such that

where the right-hand side is the average rate of change of f on the interval [0.5,0.75], which is the slope of the secant line.

in the attached graph, the black line is the secant line which has its slope as the average rate of change of f on [0.5,0.75], while the orange line is the only tangent line to the graph of f in the interval that satisfies the mvt conclusion.