SOLUTION: determine the the solution of the equation 2x-3y=-12

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Question 164588: determine the the solution of the equation
2x-3y=-12
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Do you want to find the x and y intercepts?



x-intercept


To find the x-intercept, plug in y=0 and solve for x


2x-3y=-12 Start with the given equation.


2x-3%280%29=-12 Plug in y=0.


2x-0=-12 Multiply -3 and 0 to get 0.


2x=-12 Simplify.


x=%28-12%29%2F%282%29 Divide both sides by 2 to isolate x.


x=-6 Reduce.


So the x-intercept is .


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y-intercept


To find the y-intercept, plug in x=0 and solve for y


2x-3y=-12 Start with the given equation.


2%280%29-3y=-12 Plug in x=0.


0-3y=-12 Multiply 2 and 0 to get 0.


-3y=-12 Simplify.


y=%28-12%29%2F%28-3%29 Divide both sides by -3 to isolate y.


y=4 Reduce.


So the y-intercept is .


Notice that if we graph the equation 2x-3y=-12 (you have to solve for y first), we can see that the graph has the x-intercept and the y-intercept


Graph of 2x-3y=-12