Question

What value of c makes the equation true? −3−34(c−4)=54 Drag and drop the correct number in the box. c =

Answer 1

c= -5/3

Explanation:

Answer 2

`c = -(5)/(3)`

Explanation:

Given equation,

`-3-(3)/(4)(c-4) = (5)/(4)`

By addition property of equality,

`-(3)/(4)(c-4)=(5)/(4)+3`

By distributive property,

`-(3)/(4)c+3=(5+12)/(4)`

By subtraction property of equality,

`-(3)/(4)c=(17)/(4)-3`

`-(3)/(4)c=(17-12)/(4)`

`-(3)/(4)c=(5)/(4)`

By cross multiplication,

`-3c=5`

By division property of equality,

`\implies c = -(5)/(3)`

Hence, the value of c is
`-(5)/(3)`