Solve the following system of equations by using the substitution method. y= 6x - 11 -2x - 3y = -7 - (1,2) - (2,1) - (-3,1) - (2,4)

Use the first equation   (y= 6x - 11)   to simplify the second equation (reduce the number of variables there from 2 to 1):

-2x - 3(6x - 11) = -7

-2x - 18x + 33 = -7.  Combining like terms, -20x = -40, or x = 2.

If x = 2, use the first equation to determine y:  y = 6(2) - 11 = 1

The solution is (2,1).

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