What is the solution to the system of equations below?
Y=-3x+5 and y=4x-2

9514 1404 393

  (x, y) = (1, 2)

Step-by-step explanation:

You can solve this by subtracting the first equation from the second.

  (y) - (y) = (4x -2) -(-3x +5)

  0 = 7x -7 . . . . . .simplify

  0 = x -1 . . . . . . . divide by 7

  1 = x . . . . . . . . . .add 1

Use the first equation to find y:

  y = -3(1) +5

  y = 2

The solution is (x, y) = (1, 2).

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.

answer: the answer is 110