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

Answer:

$c = -\frac{5}{3}$

Step-by-step explanation:

Given equation,

$-3-\frac{3}{4}(c-4) = \frac{5}{4}$

By addition property of equality,

$-\frac{3}{4}(c-4)=\frac{5}{4}+3$

By distributive property,

$-\frac{3}{4}c+3=\frac{5+12}{4}$

By subtraction property of equality,

$-\frac{3}{4}c=\frac{17}{4}-3$

$-\frac{3}{4}c=\frac{17-12}{4}$

$-\frac{3}{4}c=\frac{5}{4}$

By cross multiplication,

$-3c=5$

By division property of equality,

$\implies c = -\frac{5}{3}$

Hence, the value of c is $-\frac{5}{3}$