Ok so 2x + 3x + 2x + 3x = 180.... so combine like terms, 2x + 3x + 2x + 3x is 10x, because 2+3+2+3 is equal to 10, and then so 10x = 180, so divide each side by 10 because the "10" on the left side is multiplying the x, and we want "x" by itself and the opposite of multiplication is division, and 10x/10 is x and 180/10 is 18, so x = 18.
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3x+4 = 5x-6 3x-5x = -6-4 -2x = -10 x = 5
5x+7
It works out that the tangent line of y -3x -5 = 0 makes contact with the circle x^2 +y^2 -2x +4y -5 = 0 at the coordinate of (-2, -1) on the coordinated grid.
It works out that the tangent line of y -3x -5 = 0 makes contact with the circle of x^2 + y^2 -2x +4y -5 = 0 at (-2, -1)
The minimum value of the parabola is at the point (-1/3, -4/3)