Solve a linear system by substitution

Question 1

Solve the system: y = 3x − 6 4x + 2y = −2 Type the solution like (2, −1).

Answer 

Question 2

To solve y = 3x + 8 and 5x + 2y = −2 by substitution, which is the correct next line?

• A. 5x + 2·3x + 8 = −2
• B. 5x + 2(3x + 8) = −2
• C. 3x + 8 + 2y = −2
• D. 5x − 2(3x + 8) = −2

Question 3

Solve the system: x = y − 8 −3x − y = 16 Type the solution like (2, −1).

Answer 

Question 4

Solve the system: y = x − 6 −3x + 2y = −16 Type the solution like (2, −1).

Answer 

Question 5

To solve y = −3x − 5 and 4x − 4y = −14 by substitution, which is the correct next line?

• A. 4x + 4(−3x − 5) = −14
• B. 4x − 4·−3x − 5 = −14
• C. −3x − 5 − 4y = −14
• D. 4x − 4(−3x − 5) = −14

Question 6

Solve the system: x = −y − 8 −x + 4y = −12 Type the solution like (2, −1).

Answer 

Question 7

Solve the system: y = −4x + 16 −3x − y = −12 Type the solution like (2, −1).

Answer 

Question 8

To solve y = 2x + 7 and −2x − 2y = −9 by substitution, which is the correct next line?

• A. −2x − 2·2x + 7 = −9
• B. −2x − 2(2x + 7) = −9
• C. −2x + 2(2x + 7) = −9
• D. 2x + 7 − 2y = −9

Question 9

Solve the system: x = 3y + 14 x − y = 8 Type the solution like (2, −1).

Answer 

Question 10

Solve the system: y = −2x − 12 −5x − y = 21 Type the solution like (2, −1).

Answer 

Question 11

To solve y = −4x + 2 and −2x − 3y = −14 by substitution, which is the correct next line?

• A. −2x − 3(−4x + 2) = −14
• B. −4x + 2 − 3y = −14
• C. −2x − 3·−4x + 2 = −14
• D. −2x + 3(−4x + 2) = −14

Question 12

Solve the system: x = 3y − 21 −4x − 3y = −6 Type the solution like (2, −1).

Answer 

Question 13

Solve the system: y = −x − 2 2x − 3y = 16 Type the solution like (2, −1).

Answer 

Question 14

To solve y = x − 8 and −3x + 4y = 9 by substitution, which is the correct next line?

• A. −3x − 4(x − 8) = 9
• B. x − 8 + 4y = 9
• C. −3x + 4·x − 8 = 9
• D. −3x + 4(x − 8) = 9

Question 15

Solve the system: x = y − 5 x + 3y = −1 Type the solution like (2, −1).

Answer 

Question 16

Solve the system: y = −4x + 21 5x − 4y = 21 Type the solution like (2, −1).

Answer