AnswersAlgebra III ASolving Systems of Linear Equations: Graphing

Solving Systems of Linear Equations: Graphing Answers

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Raphael graphed the system of equations shown.y = – 3y = x – 0.8What is the best approximation for the solution to this system of equations?

Question illustration
A
(–3.2, –3)
B
(–2.9, –3)
C
(–2.2, –3)
D
(–1.9, –3)
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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

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
4

A system of equations has 1 solution. If 4x – y = 5 is one of the equations, which could be the other equation?

A
y = –4x + 5
B
y = 4x – 5
C
2y = 8x – 10
D
–2y = –8x – 10
5

A coordinate grid with a line labeled y equals StartFraction 2 over 5 EndFraction x minus 5 passing through the points (negative 5, negative 7) and (0, negative 5)

Question illustration
A
x – y =
Option A
B
x – y =
Option B
C
x – y =
Option C
D
x – y =
Option D
8

A coordinate grid with one line labeled y equals 3 x plus StartFraction 3 over 4 EndFraction. The line passes through points at (negative 1, negative 2) and (0, 1).

Question illustration
A
–6x + y =
Option A
B
6x + y =
Option B
C
–6x + 2y =
Option C
D
6x + 2y =
Option D
9

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
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
11

Billy graphed the system of linear equations to find an approximate solution.y = x + y = x – 3Which points are possible approximations for this system? Select two options.(1.9, 2.5)(2.2, –1.4)(2.2, –1.35)(1.9, 2.2)(1.9, 1.5)

Question illustration
A
(1.9, 2.5)
B
(2.2, –1.4)
C
(2.2, –1.35)
D
(1.9, 2.2)
E
(1.9, 1.5)
12

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
13

A system of equations has no solution. If y = 8x + 7 is one of the equations, which could be the other equation?

A
2y = 16x +14
B
y = 8x – 7
C
y = –8x + 7
D
2y = −16x − 14
14

y=–6x+2–12x – 2y=–4

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

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