AnswersAlgebra ISolving Systems of Linear Equations: Graphing

Solving Systems of Linear Equations: Graphing — Quiz Answers

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1
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What is the solution to the system of linear equations?

A
0 comma 2
B
3 comma 1
C
negative 3 comma 3
D
negative 3 comma 0
2
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How many solutions does this linear system have? y is equal to 2 x minus 5 negative 8 x minus 4 y is equal to negative 20

A
one solution: negative 2 point 5 comma 0
B
one solution: 2 point 5 comma 0
C
infinite number of solutions
D
no solution
3

A system of equations has an infinite number of solutions. 3⁢y−4⁢x=5 3⁢y+b⁢x=c What are the values of b and c ? Enter your answer in the boxes.

Answer:

-4|5

4

What is the solution to the system of equations? 2 x minus y is equal to 7 y is equal to 2 x plus 3

A
2 comma 3
B
2 comma 7
C
infinite number of solutions
D
no solution
5

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

A
y is equal to 4 x minus 5
B
2 y is equal to 8 x minus 10
C
negative 2 y is equal to negative 8 x minus 10
D
y is equal to negative 4 x plus 5
6

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

A
y is equal to 8 x minus 7
B
2 y is equal to negative 16 x minus 14
C
y is equal to negative 8 x plus 7
D
2 y is equal to 16 x plus 14
7

Sylvie finds the solution to the system of equations by graphing. y is equal to 2 thirds x plus 1 and y is equal to negative 2 thirds x minus 1 Which graph shows the solution to Sylvie’s system of equations?

A
Image with description A coordinate grid with 2 lines. The first line passes through the points (negative 1.7 comma 1.57), (0 comma negative 1), and (2 comma negative 4). The second line passes through the points (negative 1.7 comma 1.57), (0 comma 1), and (3 comma 0).
B
Image with description A coordinate grid with 2 lines. The first line passes through the points (negative 1.5 comma 0), (0 comma negative 1), and (3 comma negative 3). The second line passes through the points (negative 1.5 comma 0), (0 comma 1), and (3 comma 3).
C
Image with description A coordinate grid with 2 lines. The first line passes through the points (negative 1.02 comma 0.63), (0 comma negative 1), and (2 comma negative 4). The second line passes through the points (negative 1.02 comma 0.63), (0 comma 1), and (3 comma 2).
D
Image with description A coordinate grid with 2 lines. The first line passes through the points (negative 1.71 comma 0.14), (0 comma negative 1), and (3 comma negative 3). The second line passes through the points (negative 1.71 comma 0.14), (0 comma 1), and (2 comma 2).
8

How many solutions does this linear system have? y is equal to negative 6 x plus 2 negative 12 x minus 2 y is equal to negative 4

A
one solution: 0 comma 0
B
one solution: 1 comma negative 4
C
infinite number of solutions
D
no solution
9

How many solutions does this linear system have? y is equal to negative 1 half x plus 4 x plus 2 y is equal to negative 8

A
one solution: 0 comma 8
B
infinite number of solutions
C
one solution: 8 comma 0
D
no solution
10

A system of equations has infinitely many solutions. If 2 y minus 4 x is equal to 6 is one of the equations, which could be the other equation?

A
negative y is equal to negative 2 x minus 3
B
y is equal to 4 x plus 6
C
negative y is equal to negative 4 x plus 6
D
y is equal to 2 x plus 6

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Solving Systems of Linear Equations: Graphing…