Soving Systems of equations abergebracially, Algebra

Question 1 (Multiple Choice Worth 1 points)

(05.02)

Choose the equivalent system of linear equations that will produce the same solution as the one given below.

4x - 2y = 6
2x + y = 5

-4x - 2y = 10
-4y = 4

-4x - 5y = -1
-7y = 5

3x + 2y = 6
7x = 12

4x + 2y = 10
8x = 16

Question 2 (Multiple Choice Worth 1 points)

(05.02)

Solve the system of equations by substitution. What is the solution for x?

2x + y = 1
4x + 2y = -2

x = 0

x = 2

There is no x value as there is no solution.

x can be any value as there is an infinite number of solutions.

Question 3 (Multiple Choice Worth 1 points)

(05.02)

Solve the following system of equations:

-2x + y = 1
-4x + y = -1

(3, 1)

(-1, 3)

(-1, -3)

(1, 3)

Question 4 (Multiple Choice Worth 1 points)

(05.02)

If you were solving a system of equations and you came to a statement like 1 = 3, what do you know about the solution to the system?

The solution is (1, 3)

The solution is x = 1 and y = 3

There is no solution

There are infinitely many solutions

Question 5 (Multiple Choice Worth 2 points)

(05.02)

A gym offers regular memberships for $80 per month and off-peak memberships for $60 per month. Last month, the gym sold a total of 420 memberships for a total of $31,100. How many memberships sold were regular memberships?

125

140

235

295

Question 6 (Multiple Choice Worth 1 points)

(05.02)

Solve the system of equations.

2x - 5y = 3
x - 3y = 1

(4, 1)

(5, 2)

(7, 2)

(9, 3)

Question 7 (Multiple Choice Worth 1 points)

(05.02)

Solve the following system of equations:

-2x + y = 1
-4x + y = -1

(3, 1)

(-1, 3)

(-1, -3)

(1, 3)

Question 8 (Multiple Choice Worth 2 points)

(05.02)

Determine which system below will produce infinitely many solutions.

-4x + 6y = 20
4x - 3y = -2

-2x + 4y = 18
4x - 8y = -36

3x - 2y = 5
-6x - 4y = -10

5x - 3y = 12
15x - 9y = 24

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