# How do you solve the system #5x+2y=-15# and #y=2x-12# by graphing?

##### 1 Answer

Oct 6, 2017

(1, -10)

#### Explanation:

You can use desmos.com to graph these for free and then you just click on the point of intersection, but if you had to do it by hand...

Blue line:

y = 2x - 12 can be graphed by starting at -12 on the y-axis (because the y-intercept is -12) and going up 2 and over 1 for every point going forward (because the slope is

Red line:

Plug in 0 for x and you can find the y-intercept:

Plug in 0 for y and you can find the x-intercept:

Then you just connect a line between those points and see where they cross. In this case it is (1,-10)