Question

Answer two questions about Equations A and B:

A. 5x = 3x
B. 5 = 3
1) How can we get Equation B from Equation A?

a) add/subtract the same quantity to/from both sides
b) add/subtract a quantity to/from only one side
c) multiply/divide both sides by the same non-zero constant
d) multiply/divide both sides by the same variable expression

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

a) Yes
b) No

Answer 1

To get Equation B from Equation A, you need to simplify Equation A using multiplication and subtraction. Equation A simplifies to 0 = x/5, which is Equation B.

Step-by-step explanation:

Multiplication or division by the same number on both sides of an equation does not change equality. Remember that multiplication or division should apply to every term on either side of the equality. Enclose the side with more than one term in small brackets and then do the multiplication of division operation so that it applies to each term in the bracket. Multiplying both sides of the above equation with leads to:

5x = 3x

5x/5 = 3x/5

x = 3x/5

And finally we subtract x from both sides to get:

x - x = 3x/5 - x

0 = 2x/5

0 = x/5

This shows that Equation A simplifies to 0 = x/5, which is Equation B.

Answer 2

Answer: D multiply/divide both sides by the same variable expression , Then it’s B

Step-by-step explanation: