Determine which equations are linear equations in the variables x, y, and z. If

ediculeN 2021-09-24 Answered
Determine which equations are linear equations in the variables x, y, and z. If any equation is not linear, explain w hy not. -3x - 4y + z =- 10
You can still ask an expert for help

Expert Community at Your Service

  • Live experts 24/7
  • Questions are typically answered in as fast as 30 minutes
  • Personalized clear answers
Learn more

Solve your problem for the price of one coffee

  • Available 24/7
  • Math expert for every subject
  • Pay only if we can solve it
Ask Question

Expert Answer

avortarF
Answered 2021-09-25 Author has 113 answers
Step 1
The general form of linear equation in three variables x, y and z is:
ax+by+cz=d...(i)
Where, a, b and c non-zero numbers.
The given equation is
−3x−4y+z=−10...(ii)
We need to check whether the given equation is linear or not.
Step 2
In the given equation the powers of all the variables are 1.
The given equation is in the form of ax+by+cz=d.
On comparing (i) and (ii), we get
a=−3, b=−4, c=1
Here, a, b and c are non-zero numbers. So, the given equation is linear.
Step 3
Answer: Yes, the given equation −3x−4y+z=−10 is a linear equation in three variables x, y and z.
Not exactly what you’re looking for?
Ask My Question

Expert Community at Your Service

  • Live experts 24/7
  • Questions are typically answered in as fast as 30 minutes
  • Personalized clear answers
Learn more