Bytelearn - cat image with glassesAI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Solve for 
c.

(5)/(4)=-4c+(1)/(4)

Solve for c c .\newline54=4c+14 \frac{5}{4}=-4 c+\frac{1}{4}

Full solution

Q. Solve for c c .\newline54=4c+14 \frac{5}{4}=-4 c+\frac{1}{4}
  1. Move term with cc: Isolate the term containing cc on one side of the equation.\newlineWe start by moving the term without cc from the right side to the left side of the equation by adding (1/4)(1/4) to both sides.\newline(5/4)+(1/4)=4c+(1/4)+(1/4)(5/4) + (-1/4) = -4c + (1/4) + (-1/4)
  2. Simplify both sides: Simplify both sides of the equation.\newlineOn the left side, we combine like terms (54)(\frac{5}{4}) and (14)(-\frac{1}{4}).\newline(54)(14)=4c(\frac{5}{4}) - (\frac{1}{4}) = -4c\newline(44)=4c(\frac{4}{4}) = -4c\newline1=4c1 = -4c
  3. Solve for c: Solve for c.\newlineTo find c, we divide both sides of the equation by -4").\(\newline\$\frac{1}{(-4)} = \frac{-4c}{(-4)}\)\(\newline\)\(-\frac{1}{4} = c\)

More problems from Solve linear equations: mixed review