Resourcesdown chevron
Testimonials
Plans
Sign in
Sign up
Resourcesright arrow
Testimonials
Plans
Bytelearn - cat image with glassesAI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Solve for ff.\newline3=f+743 = f + \frac{7}{4}\newlinef=f = _____

View step-by-step helpView step-by-step help
Homeright chevron icon
Math Problemsright chevron icon
Algebra 1right chevron icon
Solve multi-step linear equationsright chevron icon

Full solution

Q. Solve for ff.\newline3=f+743 = f + \frac{7}{4}\newlinef=f = _____
  1. Isolate variable f: Isolate the variable f by subtracting 74\frac{7}{4} from both sides of the equation.\newline3=f+743 = f + \frac{7}{4}\newline3−74=f+74−743 - \frac{7}{4} = f + \frac{7}{4} - \frac{7}{4}\newline3−74=f3 - \frac{7}{4} = f
  2. Convert whole number: Convert the whole number 33 to a fraction with the same denominator as 74\frac{7}{4} to perform the subtraction.\newline3=313 = \frac{3}{1}\newlineTo have the same denominator, multiply both the numerator and denominator of 31\frac{3}{1} by 44.\newline(31)×(44)=124\left(\frac{3}{1}\right) \times \left(\frac{4}{4}\right) = \frac{12}{4}\newlineNow subtract 74\frac{7}{4} from 124\frac{12}{4}.\newline124−74=f\frac{12}{4} - \frac{7}{4} = f
  3. Perform fraction subtraction: Perform the subtraction of the fractions.\newline124−74=12−74\frac{12}{4} - \frac{7}{4} = \frac{12 - 7}{4}\newline54=f\frac{5}{4} = f

More problems from Solve multi-step linear equations

Question
Solve for x. \newline(34)x=12(\frac{3}{4})x= 12 \newlinex=x = ______
Get tutor helpright-arrow

Posted 2 months ago

Question
Solve for x. \newline−59x=15-\frac{5}{9}x= 15 \newlinex=x = ______
Get tutor helpright-arrow

Posted 1 month ago

Question
How many solutions does the following equation have?\newline5x+8−7x=−4x+15x+8-7x=-4x+1\newlineChoose 11 answer:\newline(A) No solutions\newline(B) Exactly one solution\newline(C) Infinitely many solutions
Get tutor helpright-arrow

Posted 4 months ago

Question
How many solutions does the following equation have?\newline−2z+10+7z=16z+7-2z+10+7z=16z+7\newlineChoose 11 answer:\newline(A) No solutions\newline(B) Exactly one solution\newline(C) Infinitely many solutions
Get tutor helpright-arrow

Posted 4 months ago

Question
How many solutions does the following equation have?\newline7(y−8)=7y+427(y-8)=7y+42\newlineChoose 11 answer:\newline(A) No solutions\newline(B) Exactly one solution\newline(C) Infinitely many solutions
Get tutor helpright-arrow

Posted 4 months ago

Question
How many solutions does the following equation have?\newline−9(x+6)=−9x+108-9(x+6)=-9x+108\newlineChoose 11 answer:\newline(A) No solutions\newline(B) Exactly one solution\newline(C) Infinitely many solutions
Get tutor helpright-arrow

Posted 4 months ago

Question
How many solutions does the following equation have?\newline−6(x+7)=−4x−2-6(x+7)=-4x-2\newlineChoose 11 answer:\newline(A) No solutions\newline(B) Exactly one solution\newline(C) Infinitely many solutions
Get tutor helpright-arrow

Posted 4 months ago

Question
How many solutions does the following equation have?\newline−4x−7+10x=−7+6x-4x-7+10x=-7+6x\newlineChoose 11 answer:\newline(A) No solutions\newline(B) Exactly one solution\newline(C) Infinitely many solutions
Get tutor helpright-arrow

Posted 4 months ago

Question
How many solutions does the following equation have?\newline−17(y−2)=−17y+64-17(y-2)=-17y+64\newlineChoose 11 answer:\newline(A) No solutions\newline(B) Exactly one solution\newline(C) Infinitely many solutions
Get tutor helpright-arrow

Posted 4 months ago

Question
How many solutions does the following equation have?\newline9z−6+7z=16z−69z-6+7z=16z-6\newlineChoose 11 answer:\newline(A) No solutions\newline(B) Exactly one solution\newline(C) Infinitely many solutions
Get tutor helpright-arrow

Posted 4 months ago

View all (170)