-3x + 4y = 24
4x - y = 7

y=7-4x/-1

y=-7+4x

substituting y=-7+4x

-3x+4(-7+4x)=24

-3x-28+16x=24

-3x+16x-28-24=0

13x-52=0

13x=52

x=52/13

x=4

substituting x=4

-3x+4y=24

-3(4)+4y=24

-12-24+4y=0

-36+4y

4y=36

y=36/4

y=9

i think the answer is seven, for if i'm being useless °ω°

step-by-step explanation:

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.