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 uu.\newline−3=∣u∣−7-3 = |u| - 7\newlineWrite your answers as integers or as proper or improper fractions in simplest form.\newlineu=u = _____ or u=u = _____

View step-by-step helpView step-by-step help
Homeright chevron icon
Math Problemsright chevron icon
Algebra 2right chevron icon
Solve absolute value equationsright chevron icon

Full solution

Q. Solve for uu.\newline−3=∣u∣−7-3 = |u| - 7\newlineWrite your answers as integers or as proper or improper fractions in simplest form.\newlineu=u = _____ or u=u = _____
  1. Isolate absolute value expression: Isolate the absolute value expression.\newlineAdd 77 to both sides of the equation to isolate the absolute value on one side.\newline−3+7=∣u∣−7+7-3 + 7 = |u| - 7 + 7\newline4=∣u∣4 = |u|
  2. Add 77 to both sides: Solve for uu.\newlineSince ∣u∣=4|u| = 4, uu can be either 44 or −4-4 because the absolute value of both 44 and −4-4 is 44.\newlineSo, u=4u = 4 or uu00.

More problems from Solve absolute value equations

Question
Solve for zz.\newline7=7∣z∣7 = 7|z|\newlineWrite your answers as integers or as proper or improper fractions in simplest form.\newlinez=z = _____ or z=z = _____
Get tutor helpright-arrow

Posted 5 months ago

Question
Solve for ww.\newline0=−3∣w∣0 = -3|w|\newlineWrite your answers as integers or as proper or improper fractions in simplest form.\newlinew=w = _____ or w=w = _____
Get tutor helpright-arrow

Posted 5 months ago

Question
Solve for jj.\newline∣j+6∣=0|j + 6| = 0\newlineWrite your answers as integers or as proper or improper fractions in simplest form.\newlinej=j = _____ or j=j = _____
Get tutor helpright-arrow

Posted 5 months ago

Question
Solve for uu.\newline∣u−3∣=3|u - 3| = 3\newlineWrite your answers as integers or as proper or improper fractions in simplest form.\newlineu=u = _____ or u=u = _____
Get tutor helpright-arrow

Posted 5 months ago

Question
Solve for yy.\newline−8=∣y∣−8-8 = |y| - 8\newlineWrite your answers as integers or as proper or improper fractions in simplest form.\newliney=y = _____ or y=y = _____
Get tutor helpright-arrow

Posted 5 months ago

Question
Solve for ff.\newline∣−3f∣=3|-3f| = 3\newlineWrite your answers as integers or as proper or improper fractions in simplest form.\newlinef=f = _____ or f=f = _____
Get tutor helpright-arrow

Posted 5 months ago

Question
Solve for vv.\newline−6∣v∣=−6-6|v| = -6\newlineWrite your answers as integers or as proper or improper fractions in simplest form.\newlinev=v = _____ or v=v = _____
Get tutor helpright-arrow

Posted 5 months ago

Question
Solve for gg.\newline∣−3g∣=0|-3g| = 0\newlineWrite your answers as integers or as proper or improper fractions in simplest form.\newlineg=g = _____ or g=g = _____
Get tutor helpright-arrow

Posted 5 months ago

Question
Solve for qq.\newline∣q∣−6=−5|q| - 6 = -5\newlineWrite your answers as integers or as proper or improper fractions in simplest form.\newlineq=q = _____ or q=q = _____
Get tutor helpright-arrow

Posted 5 months ago

Question
What is 13m−1−12nm=21m= \frac{1}{3}m - 1 - \frac{1}{2}nm = 21m = ?
Get tutor helpright-arrow

Posted 22 hours ago

View all (21)

Related topics

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