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Answer two questions about Equations A and B:

A. 2x - 1 = 5x
B. - 1 = 3x

1) How can we get Equation B from Equation A?

Choose 1 answer:

A. Add/Subtract the same quantity to/from both sides
B. Add/Subtract a quantity to/from only one side
C. Rewrite one side (or both) by combining like terms
D. Rewrite one side (or both) using the distributive property

2) Based on the previous answer, are the equations equivalent? In other words, do they have the same solution?

Choose 1 answer:

A. Yes
B. No

​

Respuesta :

1.  Rewrite one side (or both) by combining like terms. Option C

2. Yes, the equations are equivalent. Option A

Reasons for the answers

1.

Equation A ;  2x -1  = 5x

Equation B ; -1 = 3x

To get equation B from equation A

2x - 1 = 5x

Collect like terms

-1 = 5x -2x

Subtract the like terms

-1 = 3x

Thus, rewrite one side (or both) by combining like terms. Option C

2. 2x - 1 = 5x ...... equation A

Solution ;

2x -5x = 1

-3x = 1

x = -1/3

-1 = 3x

Solution;

x = -1/3

Thus, the equations are equivalent. Option A

Learn more about algebraic expressions here:

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