System of a Linear and a Quadratic Equation | math4u.vsb.cz

Submitted by michaela.bailova on Fri, 12/06/2024 - 14:28

Project ID:

7300020184

Accepted:

SubArea:

Systems of nonlinear equations and inequalities

Type:

Layout:

Question:

Match the system of equations with its graphical solution.

Question 1:

\begin{aligned} 4 y & = x^{2} - 4 x - 4 \\ x & = 2 y + 2 \end{aligned}

Answer 1 Image:

Question 2:

\begin{aligned} x^{2} + y^{2} & = 6 x + y + 2 \\ x - 2 y & = 2 \end{aligned}

Answer 2 Image:

Question 3:

\begin{aligned} x^{2} + 4 x + 2 & = y \\ 2 x - y + 10 & = 0 \end{aligned}

Answer 3 Image:

Question 4:

\begin{aligned} x^{2} + y^{2} & = 16 y - 2 x - 20 \\ y - 2 x & = 10 \end{aligned}

Answer 4 Image:

Question 5:

\begin{aligned} 2 x + y & = 2 x^{2} + 3 \\ y - 2 x & = 1 \end{aligned}

Answer 5 Image:

Question 6:

\begin{aligned} x^{2} + y^{2} & = x + 2 y + 3 \\ x + 4 y & = 13 \end{aligned}

Answer 6 Image:

Question 7:

\begin{aligned} 4 y & = - x^{2} + 8 x - 4 \\ x & = 2 y + 2 \end{aligned}

Answer 7 Image:

Question 8:

\begin{aligned} 4 x - y & = x^{2} \\ y - 2 x & = 1 \end{aligned}

Answer 8 Image: