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how to solve to get equation for graphing

label Algebra
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x+2y=2

2x+4y=32

Oct 20th, 2017

Two ways to solve this: by algebra and by graph. as you asked for graph, we need to plot both these lines on x-y coordinate system.

The process to do that is pretty simple (for both the equations), we just need to points to draw a line. first point can be known by using x = 0 and calculating corresponding y, then mark it on the graph. second point can be chosen by using y = 0 and calculating corresponding x, then mark it on the graph. Now that we have both the points, we just connect them and see if and when they intersect.

This way, for equation 1, points are (0,1) and (2,0). for eq. 2 points are (0,8) and (16, 0). As you can see the lines are parallel, the will never intersect. So these equations do not have any solution.

Just for your info, this can be done through algebra as follows:

rearrange the equations in the form of y = mx + c where m and c are constants (numbers). In this form, for any line, m represents the slope of the line and c represents the y-intercept of the line (point it intersects on y-axis). On doing that, we get,

y = (-1/2)x + 1 and y = (-1/2)x + 8

As the slopes of both the equations are equal (-1/2), they are parallel and will never itnersect.


Nov 28th, 2014

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