SOLUTION: 6x+4y=16

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Question 126285This question is from textbook Structure and Method Book 1
: 6x+4y=16 This question is from textbook Structure and Method Book 1

Found 2 solutions by lauren_x3, JessicaGill:
Answer by lauren_x3(3) About Me  (Show Source):
You can put this solution on YOUR website!
6x+4y=16
6x/6 = 16/6
x=2.6 (repeating)

4y = 16
4y/4 = 16/4
y = 4
(2.6, 4)

Answer by JessicaGill(40) About Me  (Show Source):
You can put this solution on YOUR website!
First, I am going to make an assumption that you are wanting help in graphing this equation. If that is incorrect, please accept my apologies.
I find that the easiest way to graph an equation to find a set of solutions is to put the equation into the Slope-intercept formula. This will give a slope and a definite y intercept point as a starting position.
To convert this equation to the Slope intercept formula y=mx%2Bb With m being the slope and b being the y intercept coordinate, you need to isolate the y variable to one side.
6x%2B4y=16


6x-6x%2B4y=16-6x Minus 6x from both sides
Equals
4y=-6x%2B16
%284y%2F4%29=%28-6x%2F4%29%2B%2816%2F4%29 Divide both sides by 4 to isolate the y.
y=-%286%2F4%29x%2B4 Problem converted to slope-intercept form.
Now that you have the equation in slope intercept form you can begin to graph the line that the equation represents.
First, you already have the Y intercept coordinates from the formula (0,4) so go ahead and graph that.
Next you have the rise/run of the slope in the formula. -6%2F4 Rise of
-6, run of 4. At the point of your y intercept, go down 6 units, and then to the right 4 units and graph that point. Connect that point with your y intercept to graph the line. See the Graph below.
graph%28300%2C+200%2C+-6%2C+5%2C+-10%2C+10%2C+y=%28-6%2F4%29%2Ax%2B4%29