Find a solution to the following system of equations.
−5x + y = −5
−4x + 2y = 2

a- (2, 5)
b- (–8, –15)
c- (–2, –15)
d- (0, 1)

A.

Step-by-step explanation:

Plugging these coordinates into the system of equations will give you these genuine statements:

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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.