Quiz At Home

Title: System of Linear Equations with no Solutions

Grade: 1400-a Lesson: S1-L8

Explanation: Hello Students, time to practice and review. Let us take next 10-15 minutes to solve the ten problems using the Quiz Sheet. Then submit the quiz to get the score. This is a good exercise to check your understanding of the concepts.

Quiz: at Home

Problem Id Problem Options

1

If there is no solution to the linear equation system
pc + 4 d = \$(8 \times 4)\$, 16c + 4d = (8 + 8), then find the value of p.

A) 12

B) 32

C) 16

D) 20

2

\$ y = 6x + 18 \$
One of the equations in a system of two linear equations is given. The system has no solution. Which equation could bethe second equation in the system?

A) - 12x + y = 18

B) - 6x + y = 18

C) - 12x + y = 36

D) - 6x + y = 22

3

If there is no solution to the linear equation system -9m - sn = -15, \$ (5 \ times 5 )m - 6n = 30 \$, then find the value of s.

A) \$ -14/25 \$

B) \$ -54/25 \$

C) \$ -54/15 \$

D) \$ -24/35 \$

4

If there is no solution to the linear equation system ep = 16 + q, 8p = 32 + 4q, then find the value of (-e).

A) - 2

B) - 4

C) - 3

D) - 5

5

Find the values of a and b such that the system below has no solutions:
3x + y = 2
6x + 2y = a​

A) a ≠ 4 and b can be any value

B) a ≠ 6 and b = 3

C) a ≠ 2 and b can be any value

D) a ≠ 4 and b = 5

6

Determine under what conditions on a, b, and c the following system has no solutions:
gx + hy = i
2x + 3y = 4

A) \$ a = (1/3)​b and c ≠ (4/3)​b \$

B) \$ a = (2/3)​b and c ≠ (4/3)​b \$

C) \$ a = (2/3)​b and c ≠ (1/3)​b \$

D) \$ a = (5/3)​b and c ≠ (5/3)​b \$

7

If there is no solution to the linear equation system 27h + 19f - 16 = 0, -28h - zf = 33.5 + 9.8, then find the value of z.

A) 23.4

B) 19.7

C) 15.6

D) 17.9

8

Find the values of u and v for which the following system of linear equations has no solutions:
ux + 3y = 4
​2x + vy = 5
3x + (u + v)y = 9​

A) \$ u = 3/v \$​, v ≠ 1

B) \$ u = v/3 \$​, v ≠ 0​

C) \$ u = 6/v \$​, v ≠ 0​

D) \$ u = v/6 \$​, v ≠ 1

9

If there is no solution to the linear equation system \$ (7 \times 9)t\$ = 18 - ew, 21t = 10 + 16w, then find the value of e + 12.

A) - 32

B) - 40

C) - 36

D) - 28

10

48x - 72y = 30y + 24
\$ ry = 1/6 - 16x \$
In the given system of equations, r is a constant. If the system has no solution, what is the value of r?

A) - 23

B) 34

C) 23

D) - 34


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