Quiz 2: Solving Linear Systems Algebraically

0.01x - 0.3y = 1 y = 0.1x - 2 What is the solution of the given system?

(-20, -4)

Solve the following system of equations. 2x+y=3 x=2y−1 Make sure there are NO SPACES in your answer. Include a comma in your answer.

(1,1)

x + y = k x - y = k The solution to the system shown is _____.

(k,0)

x + 5y = -2 2x + y = 5 The point of intersection of the lines has a y-coordinate of _____.

-1

Given the system of equations, what is the x-coordinate of the solution? y = 3 - x 3x + 4y = 1

-11

Given the system of equations, what is the value of the system determinant? x + y = 8 x - y = 10

-2

3x - 4y = 7 3x + 2y = -5 When the second equation is subtracted from the first, the resulting equation is _____.

-6y = 12

2x + y = -2 x + y = 5 The x-coordinate of the solution to the system shown is _____.

-7

2x + 3y = 6 5x + 2y = 4 Which of the following equations could be the result of multiplication and addition to eliminate a variable in the system of equations? 19y = 22 19x = 24 11y = 22

11y = 22

Solve the following system of equations by the substitution method. 10x + 10y = 1 x = y - 3 What is the value of y?

31/20

Given the system of equations, what is the y-coordinate of the solution? 5x - 4y = 7 x = 5 - y

36/23

2/3x - 1/2y = 3 1/2x + y = 5 Which of the following systems is equivalent to the given system? 2x - y = 18 and x + 2y = 10 4x - 3y = 18 and x + 2y = 10 2x - 3y = 3 and x + 2y = 5

4x - 3y = 18 and x + 2y = 10

Find the value for the following determinant. 2 3 1 4

5

Find the value for the following determinant. 2 4 3 9

6

x - y = 4 x + y = 8 The x-coordinate of the solution to the system shown is _____.

6

Which of the following equations could be the result of using the comparison method to solve the system shown? x + 2y = 6 x - 4y = 8

6 - 2y = 4y + 8

For the following system, use the second equation to make a substitution for x in the first equation. x + 5y - 10 = 0 x = 2y - 8 What is the resulting equation in simplest form?

7y -18 =0

y = 1/4x + 7 y = 1/2x + 5 The y-coordinate of the solution to the system shown is _____.

9

Based on the lesson, which of the following would be the best approach for solving this system by substitution?5x = y + 6 2x - 3y = 4

Solve the first equation for y.

The Multiplicative Property of Equality states that for real numbers a, b, c, and d, if a = b and c = d, then ac = bd.

True

a rectangular array made up of rows and columns

matrix

3x - 4y = 6 6x - 8y = 10 The system shown has _____ solution(s).

no

the form Ax + By = C of a linear equation, where A, B, and C are integers

standard form

the determinant found when column 1 consists of the constants and column 2 consists of the y-coefficients of a linear system

x-determinant

the determinant found when column 1 consists of the x-coefficients and column 2 consists of the constants of a linear system

y-determinant

Given the system of equations, what is the solution? 3x - 2y + 10 = 0 5y = 4x + 8

{(-34/7, -16/7)}

Solve the following system of equations by the substitution method. x - y = 0 x - y - 2 = 0 What is the solution set?

Ø

7x - 3y = 42 x - 4y = 1 The solution to the system of equations is _____.

(13/22, 1/22)

For the following system, use the second equation to make a substitution for y in the first equation. 2x + y = 6 y = 3x + 4 What is the resulting equation?

2x + (3x +4) =6

Which of the following equations is equivalent to x - y = 8? 2x - 4y = 64 2x - 4y = 8 4x - 2y = 64

2x - 4y = 64

For the following system, use the second equation to make a substitution for x in the first equation. 3x + 2y = 7 x - y + 3 = 0 What is the resulting equation?

3(y - 3) + 2y =7

Which of the following equations could be the result of using the comparison method to solve the system shown? x - 4y - 1 = 0 x + 5y - 4 = 0

4y + 1 = 4 - 5y

3x + 5y = 78 2x - y = 0 The point of intersection of the lines has an x-coordinate of _____.

6

the constant preceding the variables in a product

coefficient

the value of: (row 1, column 1)(row 2 column 2) - (row 1, column 2)(row 2, column 1) in a 2 by 2 matrix

determinant

the determinant found when column 1 consists of the x-coefficients and column 2 consists of the y-coefficients of a linear system

system determinant

0.01x - 0.3y = 1 y = 0.1x - 2 Which of the following systems is equivalent to the given system? 10x - 30y = 10 and 10y = x - 20 x - 30y = 100 and 10y = x - 20 x - 3y = 10 and 10y = x - 20

x - 30y = 100 and 10y = x - 20