Rachel is solving the system of equations. {7x-21y =14 and 2x+3y=11}. Using the elimination method. which of the following steps could she use? A. Divide the first equation by 2 and then add the result to the second equation.
B. Multiply the first equation by 21 then add the result to the second equation.
C. Multiply the second equation by 3 then add the result to the first equation.
D. Divide the first equation by 7 then add the result to the second equation.

the correct answer is option c.   3

step-by-step explanation:

points to remember

equation of the line with coordinates (x₁, y₁) and (x₂, y₂) is given by,

slope m = (y₂ - y₁)/(x₂ - x₁)

from the figure we can see a line with two coordinates given

to find the slope of given line

here   (x₁, y₁)   = (-1, -1 ) and (x₂, y₂) = (1, 5)

slope m = (y₂ - y₁)/(x₂ - x₁)

  = (5 - -1)/(1 - -1)

  = (5 + 1)/(1 + 1)

  = 6/2 = 3

therefore the correct answer is option c.   3

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step-by-step explanation: