Question 622842: Please help (:
Graph the two equations to solve the system. What is the solution?
y = 2x - 4 and 2x + 3y = -12 Answer by math-vortex(648) (Show Source):
You can put this solution on YOUR website! Here you go...
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We want to solve this system of equations by graphing
y = 2x - 4
2x + 3y = -12
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I would convert the 2nd equation to slope-intercept form so that it is easier to graph. Subtract 2x from both sides of the equation.
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2x + 3y = -12
3y = -2x - 12
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Divide both sides of the equation by 3.
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y=(-2/3)x-4
Now we have two equations in slope-intercept form. The graph is shown below. See additional comments under the graph.
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Observing the graph, it appears that the solution (the intersection of the two lines) is the point (0,-4). We need to check this point in both equations to be sure.
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y = 2x - 4
(-4) = 2(0) - 4
-4 = -4
Check!!
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2x + 3y = -12
2(0) + 3(-4) = -12
0 + -12 = -12
-12 = -12
Check!!
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The solution to this system is the point (0,-4).
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Feel free to email if you still have questions about this.
Ms.Figgy
math.in.the.vortex@gmail.com
