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:

The sum of three consecutive integers is -39 . Find the value of the least of the three. Answer:

The sum of three consecutive integers is −39-39 . Find the value of the least of the three.\newlineAnswer:

View step-by-step helpView step-by-step help
Homeright chevron icon
Math Problemsright chevron icon
Algebra 1right chevron icon
Consecutive integer problemsright chevron icon

Full solution

Q. The sum of three consecutive integers is −39-39 . Find the value of the least of the three.\newlineAnswer:
  1. Initialize First Integer: Let xx be the first (least) integer.\newlineConsecutive integers increase by 11 each time.\newlineConsecutive integers: xx, x+1x+1, x+2x+2
  2. Set Up Equation: Set up the equation that represents the sum of the three consecutive integers equal to −39-39.\newlineEquation: x+(x+1)+(x+2)=−39x + (x+1) + (x+2) = -39
  3. Simplify Equation: Simplify the left side of the equation x+(x+1)+(x+2)=−39x + (x+1) + (x+2) = -39.
    x+(x+1)+(x+2)=−39x + (x+1) + (x+2) = -39
    (x+x+x)+(1+2)=−39(x + x + x) + (1+2) = -39
    3x+3=−393x + 3 = -39
  4. Isolate Variable Term: Isolate the variable term in 3x+3=−393x + 3 = -39.\newline3x+3=−393x + 3 = -39\newline3x+3−3=−39−33x + 3 - 3 = -39 - 3\newline3x=−423x = -42
  5. Solve for x: Solve for x.\newline3x=−423x = -42\newline3x3=−423\frac{3x}{3} = \frac{-42}{3}\newlinex=−14x = -14
  6. Final Result: We have found the value of xx, which is the least of the three consecutive integers.\newlineThe least integer: x=−14x = -14

More problems from Consecutive integer problems

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

Posted 1 year ago

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

Posted 1 year 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 1 year 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 10 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 1 year 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 1 year 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 1 year 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 1 year 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 1 year 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 1 year ago

View all (38)

Related topics

Algebra - Order of OperationsAlgebra - Distributive Property`X` and `Y` AxesGeometry - Scalene TriangleCommon MultipleGeometry - Quadrant