SOLUTION: solve the system of equations by graphing x-2y=10 x+2y=-2

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 Question 146961: solve the system of equations by graphing x-2y=10 x+2y=-2Answer by jim_thompson5910(28476)   (Show Source): You can put this solution on YOUR website! Start with the given system of equations: In order to graph these equations, we must solve for y first. Let's graph the first equation: Start with the first equation. Subtract from both sides. Divide both sides by to isolate . Rearrange the terms and simplify. Now let's graph the equation: Graph of . ------------------------------------------------------------------- Now let's graph the second equation: Start with the second equation. Subtract from both sides. Divide both sides by to isolate . Rearrange the terms and simplify. Now let's graph the equation: Graph of . ------------------------------------------------------------------- Now let's graph the two equations together: Graph of (red). Graph of (green) From the graph, we can see that the two lines intersect at the point . So the solution to the system of equations is . This tells us that the system of equations is consistent and independent.