SOLUTION: Solve each system of equations by graphing. I dont understand how to switch it into a slope intercept form. I've seen many examples from the book but dont understand how they get t

Algebra ->  Linear-equations -> SOLUTION: Solve each system of equations by graphing. I dont understand how to switch it into a slope intercept form. I've seen many examples from the book but dont understand how they get t      Log On


   

Question 238614: Solve each system of equations by graphing. I dont understand how to switch it into a slope intercept form. I've seen many examples from the book but dont understand how they get the numbers. Will you explain it to me please?
x + 2y = 6
2x + y = 9
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
I'll get the equations into slope intercept form and let you do the graphing.



x%2B2y=6 Start with the first equation.


2y=6-x Subtract x from both sides.


2y=-x%2B6 Rearrange the terms.


y=%28-x%2B6%29%2F%282%29 Divide both sides by 2 to isolate y.


y=%28%28-1%29%2F%282%29%29x%2B%286%29%2F%282%29 Break up the fraction.


y=-%281%2F2%29x%2B3 Reduce.


So the equation y=-%281%2F2%29x%2B3 is now in slope intercept form y=mx%2Bb where the slope is m=-1%2F2 and the y-intercept is b=3 note: the y-intercept is the point

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2x%2By=9 Now move onto the second equation.


y=9-2x Subtract 2x from both sides.


y=-2x%2B9 Rearrange the terms.


So the equation y=-2x%2B9 is now in slope intercept form y=mx%2Bb where the slope is m=-2 and the y-intercept is b=+9 note: the y-intercept is the point