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:

If yy varies directly with xx and y=−26y = -26 when x=26x = 26, find yy when x=21x = 21. Write and solve a direct variation equation to find the answer.\newliney = ____

View step-by-step helpView step-by-step help
Homeright chevron icon
Math Problemsright chevron icon
Grade 8right chevron icon
Write and solve direct variation equationsright chevron icon

Full solution

Q. If yy varies directly with xx and y=−26y = -26 when x=26x = 26, find yy when x=21x = 21. Write and solve a direct variation equation to find the answer.\newliney = ____
  1. Given values: Given y=−26y = -26 when x=26x = 26.\newlineSubstitute into y=kxy = kx to find kk.\newline−26=k×26-26 = k \times 26.
  2. Calculate kk: Solve for kk.k=−2626k = \frac{-26}{26}.k=−1k = -1.
  3. Direct variation equation: Direct variation equation with kk: y=−1xy = -1x. Find yy when x=21x = 21. Substitute 2121 for xx in y=−1xy = -1x. y=−1×21y = -1 \times 21.
  4. Substitute xx: Calculate yy.y=−21y = -21.

More problems from Write and solve direct variation equations

Question
(x−3)(ax+4)=0 (x-3)(a x+4)=0 \newlineIn the given equation, a a is a constant. If the equation has the solutions x=3 x=3 and x=−2 x=-2 , what is the value of a a ?
Get tutor helpright-arrow

Posted 2 months ago

Question
3x2+ax−5=0 3 x^{2}+a x-5=0 \newlineIn the given equation, a a is a constant. If the equation has the solutions x=−5 x=-5 and x=13 x=\frac{1}{3} , what is the value of a a ?
Get tutor helpright-arrow

Posted 1 month ago

Question
ax2+5x+2=0 a x^{2}+5 x+2=0 \newlineIn the given equation, a a is a constant. If the equation has the solutions x=−2 x=-2 and x=−12 x=-\frac{1}{2} , what is the value of a a ?
Get tutor helpright-arrow

Posted 2 months ago

Question
Find the average value of the function f(x)=2x−11 f(x)=\frac{2}{x-11} from x=2 x=2 to x=8 x=8 . Express your answer as a constant times ln⁡3 \ln 3 .\newlineAnswer: □ln⁡3\square \ln 3
Get tutor helpright-arrow

Posted 3 months ago

Question
evaluate 6+4a+b36+\frac{4}{a}+\frac{b}{3} when a=4a=4 and b=3b=3
Get tutor helpright-arrow

Posted 2 months ago

Question
4x−32kx=53 4 x-32 k x=53 \newlineIn the given equation, k k is a constant. The equation has no solution. What is the value of k k ?
Get tutor helpright-arrow

Posted 2 months ago

Question
If a1=9 a_{1}=9 and an+1=2an+2 a_{n+1}=2 a_{n}+2 then find the value of a5 a_{5} .\newlineAnswer:
Get tutor helpright-arrow

Posted 3 months ago

Question
If a1=4 a_{1}=4 and an=5an−1−n a_{n}=5 a_{n-1}-n then find the value of a5 a_{5} .\newlineAnswer:
Get tutor helpright-arrow

Posted 3 months ago

Question
If a1=1 a_{1}=1 and an=nan−1+4 a_{n}=n a_{n-1}+4 then find the value of a5 a_{5} .\newlineAnswer:
Get tutor helpright-arrow

Posted 3 months ago

Question
If a1=9 a_{1}=9 and an=nan−1−2 a_{n}=n a_{n-1}-2 then find the value of a5 a_{5} .\newlineAnswer:
Get tutor helpright-arrow

Posted 3 months ago

View all (83)