Solve the system of equations. y = 17x + 37 y = x^2 + 33x + 20 Write the coordinates in exact form. Simplify all fractions and radicals. (______,______) (______,______)

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Solve the system of equations. y = 17x + 37 y = x^2 + 33x + 20    Write the coordinates in exact form. Simplify all fractions and radicals.  (______,______) (______,______)

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Substitute y Equation: Substitute y from the first equation into the second equation. Since y = 17x + 37, we can replace y in the second equation with 17x + 37. This gives us 17x + 37 = x^2 + 33x + 20.Rearrange and Solve: Rearrange the equation to set it to zero and solve for x. This means we subtract 17x + 37 from both sides to get 0 = x^2 + 33x + 20 - 17x - 37.Simplify Equation: Simplify the equation by combining like terms. This gives us 0 = x^2 + 16x - 17.Factor Quadratic Equation: Factor the quadratic equation x^2 + 16x - 17. We are looking for two numbers that multiply to -17 and add up to 16. These numbers are 17 and -1. So we can write the equation as (x + 17)(x - 1) = 0.Solve for x: Solve for x by setting each factor equal to zero. This gives us two solutions: x + 17 = 0 or x - 1 = 0. Therefore, x = -17 or x = 1.Substitute x = -17: Substitute x = -17 into the first equation y = 17x + 37 to find the corresponding value of y. This gives us y = 17(-17) + 37.Calculate y for x = -17: Calculate the value of y when x = -17. This gives us y = -289 + 37, which simplifies to y = -252.Substitute x = 1: Substitute x = 1 into the first equation y = 17x + 37 to find the corresponding value of y. This gives us y = 17(1) + 37.Calculate y for x = 1: Calculate the value of y when x = 1. This gives us y = 17 + 37, which simplifies to y = 54.

Solve the system of equations. $\newline$ $y = 17x + 37$ $\newline$ $y = x^2 + 33x + 20$ $\newline$ Write the coordinates in exact form. Simplify all fractions and radicals. $\newline$ (,) $\newline$ (,)

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Solve the system of equations.\newliney=17x+37y = 17x + 37y=17x+37\newliney=x2+33x+20y = x^2 + 33x + 20y=x2+33x+20\newlineWrite the coordinates in exact form. Simplify all fractions and radicals.\newline(______,______)\newline(______,______)

Solve the system of equations. $\newline$ $y = 17x + 37$ $\newline$ $y = x^2 + 33x + 20$ $\newline$ Write the coordinates in exact form. Simplify all fractions and radicals. $\newline$ (,) $\newline$ (,)