AnswersAZ-Intermediate Algebra A MA311Solving Linear Equations: Variable on One Side

Solving Systems of Linear Equations: Graphing Answers

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1
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Which values of m and b will create a system of equations with no solution? Select two options.y = mx + b y = –2x +

Question illustration
A
m = –3 and b =
Option A
B
m = –2 and b =
Option B
C
m = 2 and b =
Option C
D
m = and b =
Option D
E
m = -2 and b =
Option E
2
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A coordinate grid with 2 lines. The first line labeled f(x) passes through (negative 3, 3), (0, 2), and (3, 1). The second line labeled g(x) passes through the points at (negative 3, 0) and (0, 2)

Question illustration
A
(–3, 0)
B
(–3, 3)
C
(0, 2)
D
(3, 1)
3

What value of b will make the system of equations have an infinite number of solutions?y = -2x + b 4x + 2y = 8

A
2
B
8
C
4
D
-4
4

A coordinate grid with one line labeled 3 y equals 2 x minus 9. The line passes through points at (0, negative 3) and (3, negative 1).

Question illustration
A
2y = x – 4.5
B
y = x – 3
Option B
C
6y = 6x – 27
D
y = x – 4.5
Option D
5

What value of b will cause the system to have an infinite number of solutions?

Question illustration
A
-6
B
-3
C
3
D
6
6

Sylvie finds the solution to the system of equations by graphing.y = x + 1 and y = x – 1Which graph shows the solution to Sylvie’s system of equations?

Question illustration
A
Option
B
Option
C
Option
D
Option
7

y=–6x+2–12x – 2y=–4

A
one solution: (0, 0)
B
one solution: (1, –4)
C
no solution
D
infinite number of solutions
8

How many solutions does this linear system have?y = 2x – 5 –8x – 4y = –20

A
one solution: (–2.5, 0)
B
one solution: (2.5, 0)
C
no solution
D
infinite number of solutions
9

y=–x + 4x + 2y=–8

Question illustration
A
one solution: (8, 0)
B
one solution: (0, 8)
C
no solution
D
infinite number of solutions
10

What is the solution to the system of equations?2x – y = 7y = 2x + 3

A
(2, 3)
B
(2, 7)
C
no solution
D
infinite number of solutions

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