SOLUTION: 8x-6y=12 12x-9y=18 Solve and show check

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Question 1066683: 8x-6y=12
12x-9y=18
Solve and show check

Answer by math_helper(2461)   (Show Source): You can put this solution on YOUR website!

8x-6y = 12 (1)
12x-9y = 18 (2)
Multiply equation (1) by 3/2: (3/2)(8x-6y) = (3/2)(12)
12x - 9y = 18
See how it matches equation (2). This means the two equations are linearly dependent. That means you really only have one equation with two unknowns (infinite number of solutions). The solutions correspond to a line, and that line has equation 12x-9y = 18 or, in slope-intercept form:

-9y = 18 - 12x


-2 is the y-axis intercept
12/9 is the slope
Here is a graph of the line:

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