Solve the given system, using the substitution method.
2 answers:
The general equation of a line is expressed as: y = mx + b We have to write the equations to this form to see whether from there we can conclude something. y = 3x – 7 (1) 6x – 2y = 12 (2) -2y = 12 - 6x y = 3x -6 We can see that both equations have the same slope and different values of y-intercept. Therefore, they are parallel and would never meet. The correct answer is option C, there is no solution.
Y = 3x - 7 . . . . . (1) 6x - 2y = 12 . . . (2) Putting (1) into (2) gives 6x - 2(3x - 7) = 12 6x - 6x + 14 = 12 14 = 12 Therefore, there is no solution.
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