Solve the system of equations -6x+y=-21 and 2x-1/3y=7. What is the solution to the system of equations

Infinite number of solutions

Step-by-step explanation:

Write these equations in a column:

-6x+y=-21  

2x-1/3y=7

Use elimination by addition and subtraction. Start by multiplying the 2nd equation by 3, obtaining:

-6x+y=-21  

6x - y= 21

  0  - 0 = 0

There are an infinite number of solutions.  The two equations shown immediately above are multiples of one another.

answer: do we write it

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.