AnswersAlgebra ISolving Linear Equations: Variables on Both Sides

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Use properties to rewrite the given equation. Which equations have the same solution as the equation? 3 fifths x plus 2 thirds plus x is equal to 1 half minus 1 fifth x Choose three correct answers.

A
18 x plus 20 plus x is equal to 15 minus 6 x
B
12 x plus 30 x is equal to negative 5
C
8 fifths x plus 2 thirds is equal to 1 half minus 1 fifth x
D
18 x plus 20 plus 30 x is equal to 15 minus 6 x
E
24 x plus 30 x is equal to negative 5
3

What is the solution to the linear equation? 2 thirds x minus 1 half is equal to 1 third plus 5 sixths x

A
x is equal to negative 5
B
x is equal to negative 1 sixth
C
x is equal to 1 sixth
D
x is equal to 5
5

What is the solution to the linear equation? d minus 10 minus 2 d plus 7 is equal to 8 plus d minus 10 minus 3 d

A
d is equal to negative 1
B
d is equal to 5
C
d is equal to negative 5
D
d is equal to 1
8

What is the solution to the linear equation? 2 point 8 y plus 6 plus 0 point 2 y is equal to 5 y minus 14

A
y is equal to negative 10
B
y is equal to 10
C
y is equal to 1
D
y is equal to negative 1
9

What is the solution to the linear equation? 4 b plus 6 is equal to 2 minus b plus 4

A
b is equal to negative 2
B
b is equal to 4
C
b is equal to 0
D
b is equal to 6
10

Which step could be used to help isolate the variable in the following equation? 5 point 6 j minus 0 point 1 2 is equal to 4 plus 1 point 1 j

A
Subtract 4 j from both sides.
B
Subtract 0 point 1 2 from both sides.
C
Subtract 1 point 1 j from both sides.
D
Subtract 5 point 6 from both sides.

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