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Solving Systems of Linear Equations: Linear Combinations — Unit test Answers

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At what value of x do the graphs of the equations below intersect?2x − y = 65x + 10y = −10

A
Option
Option A
B
−2
C
2
D
Option
Option D
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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
23

Which statement is true about the equations –3x + 4y = 12 and x – y = 1?

Question illustration
A
The system of the equations has exactly one solution at (–8, 3).
B
The system of the equations has exactly one solution at (–4, 3).
C
The system of the equations has no solution; the two lines are parallel.
D
The system of the equations has an infinite number of solutions represented by either equation.
24

The system of equations below has no solution.

Question illustration
A
Four-thirds x = 42
Option A
B
Option
Option B
C
Fifteen-halves y = 33
Option C
D
0 = 0
Option D
25

Karina uses the system of equations below to compare the monthly utility costs in July and December for electricity, x, and natural gas, y. 750x + 17y = 141.61300x + 30y = 75.90

A
The cost of natural gas is $0.17 per unit.
B
The cost of natural gas is $0.20 per unit.
C
The cost of natural gas is $0.72 per unit.
D
The cost of natural gas is $0.83 per unit.

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