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Graph this system of equations as a pair of lines in xy-plane. Solve each system and interpret
your answer.
this is the first equation 2/3x + 1/6y = 2/3
this is the second equat 4x + y = 4
please show work. thank you
Solution
for both equations, all you have to do is move the y to one side, and x to the other.
so for the first one, multiply both sides by 6, then 4x + y = 4, then move 4x to the right side of
the equation. then, the first equation should be y= -4x +4. for the second equation, do the same
thing, we got y= -4x + 4 which is the same as the equation 1. therefor, in the xy-plane,two lines
are lying together. to make the graph, we know that two points will create a straight line. just
plug any two x values, and solve for y. for example, let x = 0, and 1, then y = 4, 0, xy coordinates
for two points will be (0,4) and (1,0), then draw a line go through both points.

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Graph this system of equations as a pair of lines in xy-plane- Solve e.docx

  • 1. Graph this system of equations as a pair of lines in xy-plane. Solve each system and interpret your answer. this is the first equation 2/3x + 1/6y = 2/3 this is the second equat 4x + y = 4 please show work. thank you Solution for both equations, all you have to do is move the y to one side, and x to the other. so for the first one, multiply both sides by 6, then 4x + y = 4, then move 4x to the right side of the equation. then, the first equation should be y= -4x +4. for the second equation, do the same thing, we got y= -4x + 4 which is the same as the equation 1. therefor, in the xy-plane,two lines are lying together. to make the graph, we know that two points will create a straight line. just plug any two x values, and solve for y. for example, let x = 0, and 1, then y = 4, 0, xy coordinates for two points will be (0,4) and (1,0), then draw a line go through both points.