emancipezN

Answered

2020-10-27

Which of the following equations have the same solution set? Give reasons for your answers that do not depend on solving the equations.

l.$x-5=3x+7$

ll.$3x-6=7x+8$

lll.$15x-9=6x+24$

lV.$6x-16=14x+12$

V.$9x+21=3x-15$

Vl.$-0.05+\frac{x}{100}=3\frac{x}{100}+0.07$

l.

ll.

lll.

lV.

V.

Vl.

Answer & Explanation

Macsen Nixon

Expert

2020-10-28Added 117 answers

Equations l,V and Vl all have the same solution set.

We can obtain V from l by multiplying both sides of l by 3 then applying symmetric property(switching sides):

We can obtain Vl from l by multiplying both sides of l by 100 then applying commutative property on the left side:

Equations ll and lV have the same solution set.

We can obtain lV from ll by multiplying both sides of ll by 2 then substracting 4 from both sides:

Equations lll does not have the same solution set as the other equations since it cannot be transformed from l or ll.

Results:l,V, and Vl all have the same solution set.

ll and lV have the same solution set.

lll does not have the same solution set as the other equations.

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