Solve the system of equations. y = 45x + 46 y = x^2 + 38x + 28 Write the coordinates in exact form. Simplify all fractions and radicals. (______,______) (______,______)

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Solve the system of equations. y = 45x + 46 y = x^2 + 38x + 28    Write the coordinates in exact form. Simplify all fractions and radicals.  (______,______) (______,______)

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Substitute y in second equation: Substitute y from the first equation into the second equation. Since y = 45x + 46, we can replace y in the second equation with 45x + 46. This gives us the equation 45x + 46 = x^2 + 38x + 28.Rearrange and solve for x: Rearrange the equation to set it to zero and solve for x. This means we subtract 45x and 46 from both sides to get 0 = x^2 + 38x + 28 - 45x - 46. Simplifying this gives us 0 = x^2 - 7x - 18.Factor quadratic equation: Factor the quadratic equation x^2 - 7x - 18. The factors of -18 that add up to -7 are -9 and +2. So the factored form is (x - 9)(x + 2) = 0.Solve for x: Solve for x by setting each factor equal to zero. This gives us two solutions: x - 9 = 0, which gives x = 9, and x + 2 = 0, which gives x = -2.Substitute x=9 for y: Substitute x = 9 into the first equation y = 45x + 46 to find the corresponding value of y. This gives us y = 45(9) + 46, which simplifies to y = 405 + 46, and thus y = 451.Substitute x=-2 for y: Substitute x = -2 into the first equation y = 45x + 46 to find the corresponding value of y. This gives us y = 45(-2) + 46, which simplifies to y = -90 + 46, and thus y = -44.

Solve the system of equations. $\newline$ $y = 45x + 46$ $\newline$ $y = x^2 + 38x + 28$ $\newline$ Write the coordinates in exact form. Simplify all fractions and radicals. $\newline$ (,) $\newline$ (,)

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Solve the system of equations.\newliney=45x+46y = 45x + 46y=45x+46\newliney=x2+38x+28y = x^2 + 38x + 28y=x2+38x+28\newlineWrite the coordinates in exact form. Simplify all fractions and radicals.\newline(______,______)\newline(______,______)

Solve the system of equations. $\newline$ $y = 45x + 46$ $\newline$ $y = x^2 + 38x + 28$ $\newline$ Write the coordinates in exact form. Simplify all fractions and radicals. $\newline$ (,) $\newline$ (,)