solve each system of equations by graphing

Question

y= 5x - 2

y= -2x + 5 

Answer 1

Though we cannot make graphs, we can at least guide you along how to make your own.

The equations are in slope-intercept form, so what we do is start at the y-intercept for our first point. The y-intercept is the b value of our equations. In our equation y = 5x - 2, that would be the -2, so we start at (0, -2). From there we take a look at our slope value: the 5 next to the x. That means for every one you move to the right, you go up five units, so the point there would be (1, 3). When you go to the left, you drop five units, which would be (-1, -7). Continue this line for one or two points more on each end (don't forget to add little arrows on each end of the line to notify that the line is continuous).

 

Now for the second line. The b value is 5, so we start at (0, 5). The slope next to the x says -2, so for every step to the right, the graph drops 2, making that point (1, 3). Moving one step to the left will raise the line by two, making it (-1, 7). Again, draw in a couple more points and put arrows on the ends.

 

Where the two lines cross will be your answer.

Answer 2

https://www.wyzant.com/resources/files/357988/lines

  This only one system of linear equations.