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Use a graphing calculator to solve the system
x+3y = 6
4x-6y=6

User Robert Ros
by
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1 Answer

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The solution to the system of equations x + 3y = 6 and 4x - 6y = 6 is x = 3 and y = 1.



Given the system of equations in the question:


x + 3y = 6


4x - 6y = 6



To solve the system of equations by graphing, firstly, graph equation on the graph and take the point of intersection.


x+3y = 6


4x-6y=6



For equation 1)


x + 3y = 6


Reorder in slope intercept form:


y = (-1/3)x + 2



Now, plug in x=0 to determine the y-intercept:


y = 0 + 2


y = 2


Plug in y = 3:


3 = (-1/3)x + 2


-x/3 = 3 - 2


x = -3


Now, plot the first line using the points (0,6) and (-3,3).



For the second equation:


4x - 6y = 6


Solve for y:


6y = 4x - 6


y = (2/3)x - 1



Now, plug in x = 0 to determine the y-intercept:


y = 0 - 1


y = -1


Plug in y = 3


3 = (2/3)x - 1


3 + 1 = 2x/3


2x/3 = 4


2x = 4 × 3


2x = 12


x = 12/2


x = 6


Now, plot the second line using the points (0,-1) and (6,3).


From the graph, the point of intersection is (3,1).


Use a graphing calculator to solve the system x+3y = 6 4x-6y=6-example-1
User MindStudio
by
7.7k points

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