What are the solutions?(–3, 4) and (0,1)(–3, 4) and (–1,0)(3, –4) and (1,0)(–3, 4) and (1,0)
✔ –2024
David wants to find the solutions of this system of equations: –4x – 7 = yx2 – 2x – 6 = yWhich statement is true?There are no real number solutions.There is one unique real number solution at (–1, –3).There is one unique real number solution at (1, –3).There are two real number solutions at (–1, –3) and (1, –7).
Jordan is solving this system of equations: y = 2x2 + 3 and y – x = 6. Which statements are true about Jordan’s system? Check all that apply.
Which systems of equations have no real number solutions? Check all that apply.
What are the solutions?
✔ –2024
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David wants to find the solutions of this system of equations: –4x – 7 = yx2 – 2x – 6 = yWhich statement is true?
Jordan is solving this system of equations: y = 2x2 + 3 and y – x = 6. Which statements are true about Jordan’s system? Check all that apply.The quadratic equation is in standard form.Using substitution, the system of equations can be rewritten as 2x2 – x – 3 = 0. There are two real number solutions.There are no real number solutions. A solution of the system of equations is (–1, 1.5).
Which systems of equations have no real number solutions? Check all that apply.y = x2 + 4x + 7 and y = 2 y = x2 – 2 and y = x + 5y = –x2 – 3 and y = 9 + 2xy = –3x – 6 and y = 2x2 – 7x y = x2 and y = 10 – 8x
Explain how you can determine the number of real number solutions of a system of equations in which one equation is linear and the other is quadratic–without graphing the system of equations.
Isolate one variable in the system of equations. Use substitution to create a onevariable equation. Then, set the quadratic equation equal to zero and find the discriminant. If the discriminant is negative, then there are no real number solutions. If the discriminant is zero, then there is one real number solution. If the discriminant is positive, then there are two real number solutions.
–4–2✔ –0.252
The second solution is ([___], [___]).
–4–2✔ –0.252
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What did you include in your response? Check all that apply.
–4–2–1✔ 2
–4–2–1✔ 2
Solve this system of equations algebraically:
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