Question

Are the equations – 2x = 10 and -5x = 25 equivalent? ​

Answer 1

Answer:
`Yes`

Q: How are they the same answer?

A: You divide both of them by the number with x.

Divide both sides by -2

`-2x/-2=10/-2\\x=-5`

Divide both sides by -5

`-5x/-5=25/-5\\x=-5`

That's how both of them are equivalent to each other.

Answer 2

`\text{Hey there!}`

`\text{Are the equations -2x = 10 \& -5x = 25 equivalent?}`

`\text{-2x = 10}`

`\text{DIVIDE both sides by -2}`

`\bf{(-2x)/(-2) = (10)/(-2)}`

`\text{Cancel out \frac[-2x}{-2} because it gives 1}`
`\text{Cancel out:}\ \bf(-2x)/(-2) \text{ because it gives you 1}`

`\text{Keep:} \bf{(10)/(-2)}\text{ because it gives you the result of x}`

`\bf{(10)/(-2) = -10/2 \rightarrow -5}`

`\boxed{\underline{\text{\bf{x = -5}}}}\checkmark`

`\text{-5x = 25}`

`\text{DIVIDE both sides by -5}`

`\bf{(-5x)/(-5)= (25)/(-5)}`

`\text{Cancel out:}\ \bf{(-5x)/(-5)}\text{ because it gives you 1}`

`\text{Keep:}\ \bf{(25)/(-5)}\ \text{ because it gives you the result of x }`

`\bf{(-25)/(5) = -25 / 5 \rightarrow -5 }`

`\boxed{\underline{\bf{x = -5}}}\checkmark`

`\boxed{\text{To answer your question: \boxed{\bf{YES}} because both x's equal to -5}}`

`\text{Good luck on your assignment and enjoy your day!}`

~
`\frak{LoveYourselfFirst:)}`