# SOLUTION: Solve each of the following systems by graphing. 6. 4x + 3y = 12 x + y = 2

Algebra ->  -> SOLUTION: Solve each of the following systems by graphing. 6. 4x + 3y = 12 x + y = 2       Log On

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 Question 124408: Solve each of the following systems by graphing. 6. 4x + 3y = 12 x + y = 2 Answer by jim_thompson5910(29613)   (Show Source): You can put this solution on YOUR website! Start with the given system of equations: In order to graph these equations, we need to solve for y for each equation. So let's solve for y on the first equation Start with the given equation Subtract from both sides Rearrange the equation Divide both sides by Break up the fraction Reduce Now lets graph (note: if you need help with graphing, check out this solver) Graph of So let's solve for y on the second equation Start with the given equation Subtract from both sides Rearrange the equation Divide both sides by Break up the fraction Reduce Now lets add the graph of to our first plot to get: Graph of (red) and (green) From the graph, we can see that the two lines intersect at the point (,) (note: you might have to adjust the window to see the intersection)