Question

Are the equaltions 3x= -9 and 4x= -12 equivalent

Answer 1

The x's come out to be the same

Explanation:

x= -3

3(-3)= -9

4(-3)= -12

negative times a positive is a negative

Answer 2

`\huge\text{Hey there!}`

Question #1 ↓

`\huge\boxed{\mathsf{3x = -9}}\\\huge\text{DIVIDE 3 to BOTH SIDES}\\\huge\boxed{\mathsf{(3x)/(3)=(-9)/(3)}}\\\huge\text{CANCEL out: }\huge\boxed{\mathsf{(3)/(3)}}\\\huge\text{KEEP: }\huge\boxed{\mathsf{(-9)/(3)}}\\\huge\boxed{\mathsf{x = (-9)/(3)}}\\\\\\\\\boxed{\mathsf{x = \bf -3}}`

Question #2 ↓

`\huge\boxed{\frak{{4x = -12}}}\\\huge\text{DIVIDE 4 to BOTH SIDES}\\\huge\boxed{\frak{(4x)/(4)= (-12)/(4)}}\\\huge\text{CANCEL out: }\boxed{\frak{(4)/(4)}}\\\huge\text{KEEP: }\boxed{\frak{(-12)/(4)}}}\\\huge\boxed{\frak{x = (-12)/(3)}}\\\\\\\\\huge\boxed{x = \bf -3}`

`\huge\boxed{\frak{-3 = -3}}\\\\\\\huge\boxed{\frak{Therefore, to\ answer\ your\ question...\ it\ is}}\\\huge\boxed{\frak{\bold{TRUE} \ because\ they\ are\ equivalent\ to\ each}}\\\huge\boxed{\frak{other}}`