Solve the system of equations. y = 50x - 33 y = x^2 + 32x - 1 Write the coordinates in exact form. Simplify all fractions and radicals. (______,______) (______,______)

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Solve the system of equations. y = 50x - 33 y = x^2 + 32x - 1    Write the coordinates in exact form. Simplify all fractions and radicals.  (______,______) (______,______)

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Set Equations Equal: Since both equations are equal to y, we can set them equal to each other to find x. This gives us the equation 50x - 33 = x^2 + 32x - 1.Rearrange and Solve: Rearrange the equation to set it to zero and solve for x. This means we subtract 50x - 33 from both sides to get 0 = x^2 + 32x - 50x - 1 + 33, which simplifies to 0 = x^2 - 18x + 32.Factor Quadratic Equation: Factor the quadratic equation x^2 - 18x + 32 = 0. The factors of 32 that add up to -18 are -16 and -2. So the factored form is (x - 16)(x - 2) = 0.Solve for x: Solve for x by setting each factor equal to zero. This gives us x - 16 = 0 or x - 2 = 0, which means x = 16 or x = 2.Substitute x Values: Substitute x = 16 into one of the original equations to find y. Using y = 50x - 33, we get y = 50(16) - 33, which simplifies to y = 800 - 33, giving us y = 767.Find y Values: Substitute x = 2 into the same equation to find the other value of y. Using y = 50x - 33, we get y = 50(2) - 33, which simplifies to y = 100 - 33, giving us y = 67.Write Coordinate Points: Write the solution as coordinate points. The coordinate points are (16, 767) and (2, 67).

Solve the system of equations. $\newline$ $y = 50x - 33$ $\newline$ $y = x^2 + 32x - 1$ $\newline$ Write the coordinates in exact form. Simplify all fractions and radicals. $\newline$ (,) $\newline$ (,)

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Solve the system of equations.\newliney=50x−33y = 50x - 33y=50x−33\newliney=x2+32x−1y = x^2 + 32x - 1y=x2+32x−1\newlineWrite the coordinates in exact form. Simplify all fractions and radicals.\newline(______,______)\newline(______,______)

Solve the system of equations. $\newline$ $y = 50x - 33$ $\newline$ $y = x^2 + 32x - 1$ $\newline$ Write the coordinates in exact form. Simplify all fractions and radicals. $\newline$ (,) $\newline$ (,)