You can put this solution on YOUR website! You need to get the equation into slope-intercept form to solve it.
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2x -3y = -19
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subtract 2x from both sides
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-3y = -2x -19
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divide both sides by -3
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y = (-2/-3)x -19/(-3)
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y = 2/3x + 19/3
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y-intercept is when x=0, it = 19/3,
which is the point (0, 19/3)
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x-intercept is when y=0, so set y=0 and solve for x.
0 = 2/3x + 19/3
subtract 19/3 from both sides
-19/3 = 2/3x
multiply both sides by 3 to eliminate fraction
-19 = 2x
2x = -19
divide both sides by 2
x = -19/2
so the x-intercept is (-19/2,0)
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A graph helps you to see the solution.
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