Multiply the first equation through by -2 to make the 2x become -4x, so it will cancel with the 4x in the second equation: -2[2x - 4y = 7] 4x + 2y = 9 -4x + 8y = -14 4x + 2y = 9 Now add vertically term-by-term: -4x + 8y = -14 4x + 2y = 9 10y = -5 y = -5/10 y = -1/2 To find x we eliminate y: To eliminate the y terms, look at the coefficients of Explanation: Two lines are either parallel or incident (or at least this is what can be graphically interesting about a couple of lines). They are parallel if and y=3x+1;x+2y=-5 Solution : {y,x} = {-2,-1} System of Linear Equations entered : [1] y=3x+1 [2] x+2y=-5 Equations Simplified or Rearranged : [1] y - 3x = 1 [2] 2y + x = -5 Graphic .
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  • 7x 4y 2 2x 2y 5