pair of linear equation 2x-3y=y
Answers
Answer:
2x - 3y = y
→ 2x = 4y
→ x = 2y ..................................
Answer:
y = x/2
Step-by-step explanation:
The question gives you an equation for a line. (2x-3y=y). What you have to do is solve it and maybe it may tell you to draw a line with the given equation.
First lets simlify the equation and solve it.
2x-3y=y
1. => -3y -y = -2x
2. => -4y = -2x
3. => 4y = 2x
4. => y = 2x/4
5. => y = x/2
So, the simplified equation is y = x/2. This means that the Gradient of the line is 1/2 and the y-intercept is 0 (the line passes through the origin (0,0)).
Now to draw the line all you have to do is plot any 2 points with the equation. To plot the point you have to work out the cooredinates of them.
To do this you must:
1. Take a random value of y (say 1) and substitute it with the value y. So the equation is 1 = x/2.
2. Now with y known you can calculate the value of x.
1 = x/2
=> 2 = x
So if y = 1 then x = 2. then the coordinates of the first point is (2,1). Now plot that on your graph.
3. To draw a line you need any 2 points. So all we need now is another point. To plot another point we substitute another value of y (say 2). So now the equation is 2 = x/2.
4. Now with y known you can calculate the value of x.
2 = x/2
=> 4 = x
So if y = 2 then x = 4. Then the coordinates of the second point is (4,2). Now plot that on your graph.
5. Finally, you can draw a line that crosses those points and that is your line from the equation y = x/2.
Your line should look something like this:
