Question

which equations are equivalent to 3/4+m=-7/4 check all that apply m=10/4 m=-10/4 m=-5/2 11/4+m=-1/4 -5/4+m=-15/4 m+2=-0.5 Help fast!!!!!!!!

Answer 1

`m=-(10)/(4)`

`m=-(5)/(2)`

`-(5)/(4)+m=-(15)/(4)`

`m+2=-0.5`

Explanation:

Given equation,

`(3)/(4)+m=-(7)/(4)`

`\implies m = -(7)/(4)-(3)/(4)=(-7-3)/(4)=-(10)/(4)=-(5)/(2)`,

Since,
`(10)/(4)\\eq -(5)/(2)`

`(11)/(4)+m = -(1)/(4)`

`\implies m = -(1)/(4)-(11)/(4)=(-1-11)/(4)=-(12)/(4)=-3\\eq -(5)/(2)`

`-(5)/(4)+m=-(15)/(4)\implies m = -(15)/(4)+(5)/(4)=(-15+5)/(4)=-(10)/(4)`

`m+2=-0.5\implies m = -0.5-2\implies m = -2.5=-(5)/(2)`

Answer 2

The correct choices are; B,C,E, and F.

Explanation:

The given equation is;

`(3)/(4)+m=-(7)/(4)`

We solve for m to obtain:

`m=-(7)/(4)-(3)/(4)=-2.5`

We also solve the remaining equations to see which ones give the same result.

A:
`m=(10)/(4) =2.5`

B:
`m=-(10)/(4) =-2.5`

C:
`m=-(5)/(2) =-2.5`

D:
`(11)/(4)+m=-(1)/(4)`

`m=-(1)/(4)-(11)/(4)=-3`

E:
`-(5)/(4)+m=-(15)/(4)`

`m=-(15)/(4)+(5)/(4)=-2.5`

F:
`m+2=-0.5`

`m=-0.5-2=-2.5`

The equivalent equations are; B,C,E, and F.