What are the solutions?
What did you include in your response? Check all that apply.
✔ –2024
–4–2✔ –0.252
–4–2–1✔ 2
Solve this system of equations algebraically:
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90
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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.
Solve this system of equations algebraically:
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