# SOLUTION: Solve the system of linear equations using the Graphing Method. 2x+y=5 3x-2y=4

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 Click here to see ALL problems on Linear Equations And Systems Word Problems Question 389659: Solve the system of linear equations using the Graphing Method. 2x+y=5 3x-2y=4Answer by haileytucki(390)   (Show Source): You can put this solution on YOUR website!2x+y=5_3x-2y=4 Since 2x does not contain the variable to solve for, move it to the right-hand side of the equation by subtracting 2x from both sides. y=-2x+5_3x-2y=4 Since 3x does not contain the variable to solve for, move it to the right-hand side of the equation by subtracting 3x from both sides. y=-2x+5_-2y=-3x+4 Divide each term in the equation by -2. y=-2x+5_-(2y)/(-2)=-(3x)/(-2)+(4)/(-2) Simplify the left-hand side of the equation by canceling the common factors. y=-2x+5_y=-(3x)/(-2)+(4)/(-2) Simplify the right-hand side of the equation by simplifying each term. y=-2x+5_y=(3x)/(2)-2 Create a graph to locate the intersection of the equations. The intersection of the system of equations is the solution. y=-2x+5_y=(3x)/(2)-2