Solving Linear Systems by Substitution

Question 1

Select all of the number of ways in which a line and a parabola can intersect.

Revolt · Accepted Answer

0; 1; 2

Question 2

Select all of the number of ways in which a line and a circle can intersect.

Revolt · Accepted Answer

0; 1; 2

Question 3

Solve the system.x + y = 82x2 – y = –5Add the equations, then choose the result.

Revolt · Accepted Answer

2x2 + x = 3

Question 4

Question 5

Revolt · Accepted Answer

0; 1; 2; 3; 4

Question 5

Think about the graphs of the equations in the following system.x2+ y2 = 2y = 2x2 – 3Which of the following describes the system?

Revolt · Accepted Answer

circle with its center at (0, 0) and a radius of ; parabola opening up with its vertex at (0, –3)

Question 6

Use substitution to solve.2x² = 5 + y4y = -20 + 8x²Solve the first equation for y and substitute it into the second equation. The resulting equation is .

Revolt · Accepted Answer

8x² - 20 = -20 + 8x²

Question 7

The solution of 2x2 + x = 3 is shown below.2x2 + x – 3 = 0(2x + 3)(x – 1) = 0x = –1.5 or x = 1Based on this work, the solution of the system of equations is .

Revolt · Accepted Answer

{(–1.5, 9.5), (1, 7)}

Question 8

The system has .

Revolt · Accepted Answer

infinitely many solutions

Solving Linear Systems by Substitution Answers

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