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:

x+y=1x+y=1 , y+z=−1y+z=-1 and z+x=2z+x=2. \newlineWhat is the value of x−y−zx-y-z

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

Full solution

Q. x+y=1x+y=1 , y+z=−1y+z=-1 and z+x=2z+x=2. \newlineWhat is the value of x−y−zx-y-z
  1. Identify Equations: Identify the system of equations:\newlinex+y=1x + y = 1\newliney+z=−1y + z = -1\newlinez+x=2z + x = 2
  2. Solve for x: Solve for x using the first and third equations:\newlinex+y=1x + y = 1\newlinez+x=2z + x = 2\newlineSubtract the first from the third:\newlinez+x−(x+y)=2−1z + x - (x + y) = 2 - 1\newlinez−y=1z - y = 1
  3. Solve for zz: Solve for zz using the second equation:\newliney+z=−1y + z = -1\newlineSubstitute z−y=1z - y = 1 into this equation:\newliney+(1+y)=−1y + (1 + y) = -1\newline2y+1=−12y + 1 = -1\newline2y=−22y = -2\newliney=−1y = -1
  4. Find x: Find x using y=−1y = -1 in the first equation:\newlinex+(−1)=1x + (-1) = 1\newlinex−1=1x - 1 = 1\newlinex=2x = 2
  5. Find zz: Find zz using y=−1y = -1 in the second equation:\newline−1+z=−1-1 + z = -1\newlinez=0z = 0
  6. Calculate x−y−zx - y - z: Calculate x−y−zx - y - z:x−y−z=2−(−1)−0x - y - z = 2 - (-1) - 0x−y−z=3x - y - z = 3

More problems from Rearrange multi-variable 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 (51)