Q: What is 5x plus 17 equals 2x plus 41?

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2x + 3y = 17 3x + 4y = 24 (2x + 3x) + (3y + 4y) = (17 + 24) 5x + 7y = 41

2x - 6x + 3x = -412x - 3x = -41-1x = -41x = 41

17 + 11 + (25-12) = 17 + 11 + 25 - 12 = 41.

5e2x + 16 = 41 5e2x = 25 5e2x = 5e2 which makes 2x = 2 x = 1

If: y = 17-3x and y = x^2+2x-7 Then: x^2+2x-7 = 17-3x => x^2+5x-24 = 0 Solving the quadratic equation: x = -8 and x = 3 Points of intersection with the parabola: (-8, 41) and (3, 8) Length of line: square root of [(-8-3)^2+(41-8)^2] = 34.785 to 3 d.p.

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2x + 3y = 17 3x + 4y = 24 (2x + 3x) + (3y + 4y) = (17 + 24) 5x + 7y = 41

2x - 6x + 3x = -412x - 3x = -41-1x = -41x = 41

41

41

17 + 11 + (25-12) = 17 + 11 + 25 - 12 = 41.

5e2x + 16 = 41 5e2x = 25 5e2x = 5e2 which makes 2x = 2 x = 1

If: y = 17-3x and y = x^2+2x-7 Then: x^2+2x-7 = 17-3x => x^2+5x-24 = 0 Solving the quadratic equation: x = -8 and x = 3 Points of intersection with the parabola: (-8, 41) and (3, 8) Length of line: square root of [(-8-3)^2+(41-8)^2] = 34.785 to 3 d.p.

-41 -11x2=-22 -22 - 19= -41

If: y = x^2 +2x -7 and y = 17 -3x Then: x^2 +2x -7 = 17 -3x => x^2 +5x -24 = 0 Solving the equation: x = 3 or x = 8 Points of intersection: (3, 8) and ( -8, 41) Length of line: square root of 1210 which is about 34.785 to three decimal places

-58

At 41. In other words... 10 plus 31 equals 41 !

24 plus 17 = 41