Question

Equation 5x + 7 = 0 and equation __________ have same solution. [ ]
a) 7x + 5 = 0 b) 25 x + 35 = 0 c) 5x – 7 = 0 d) 7x – 5 = 0

Answer 1

Answer:

b) 25x+35=0

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Answer 2

To solve this first we solve the equation 5x + 7 = 0

5x + 7 = 0

5x = -7

x = -7/5

So, we need to find another equation that has -7/5 as its solution.

Unfortunately, I think trial and error is the only way to solve this.

So lets go through each option:

a) 7x + 5 = 0

Substituting x = -7/5

7(-7/5) + 5 = 0

-49/5 + 5 = 0

(-49 + 25)/5 = 0

-24/5 = 0

As this is false, we know (a) is incorrect

b) 25x + 35 = 0

Substituting x = -7/5

25(-7/5) + 35 = 0

5(-7/1) + 35

-35 + 35 = 0

0 = 0

As this statement is true, we can say that option (b) is correct.

This time we got lucky :P The correct answer is option (b)

Hope this Helped!

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