Solving Systems of Linear Equations: Graphing Answers

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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
2
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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
3

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
4

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
5

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
6

Which values of m and b will create a system of equations with no solution? Select two options.y = mx + b y = –2x + m = –3 and b = m = –2 and b = m = 2 and b = m = and b = m = -2 and b =

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
7

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
8

y=–6x+2–12x – 2y=–4

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

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

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Solving Systems of Linear Equations: Graphing…