To graph these equations you must first convert them into slope intercept form
***Remember that the slope intercept formula is:
y = mx + b
m is the slope
b is the y-intercept
First equation: 2x + 3y = 7
3y = 7 - 2x
y = (7/3) - (2x/3)
y = -[tex]\frac{2}{3}[/tex]x + [tex]\frac{7}{3}[/tex]
Second equation: 3x+y=7
y = 7 - 3x
y = -3x + 7
Now you should graph the equations. Below is an image of the graph with the two lines.
The blue line demonstrates the equation y = -[tex]\frac{2}{3}[/tex]x + [tex]\frac{7}{3}[/tex] OR 2x + 3y = 7
The purple line demonstrates the equation y = -3x + 7 OR 3x+y=7
When graphing a system the answer is the point of intersection of the two lines.
In this case the point of intersection is (2, 1). This means x = 2 and y = 1
I hope this helped!
~Just a girl in love with Shawn Mendes
