Seudónimo Seudónimo
  • 18-04-2022
  • Mathematics
contestada

For what value of k will the following linear system have infinitely many solutions?

2a+b=-6, 6a+kb=-18

Respuesta :

fieryanswererft
fieryanswererft fieryanswererft
  • 18-04-2022

There are infinitely many solutions to a linear equation with the same variable term on both sides of the equation.

We have to find the coefficient of "b"

from first equation:

  • 2a + b = -6
  • b = -6 - 2a

from second equation:

  • 6a + kb = -18
  • b = (-18 - 6a)/k

solve them simultaneously:

  • (-18 - 6a)/k = -6 - 2a
  • (-18 - 6a)/(-6 - 2a) = k
  • k = 3
Answer Link

Otras preguntas

The sun is about 93 times the sixth power of ten miles from earth.what is the distance written as a whole number? Plz answer today! Thanks alot!!
A panel of judges (presides or preside) over the Supreme Court. Which is correct?
What is 5.6 × 10^−3 yd/year in feet per day?  A.6.813 × 10^−7  ft/day  B.6.132 × 10^−6  ft/day  C.5 × 10^−6  ft/day  D.4.6 × 10^−5  ft/dayPlease explain the ans
Matter is needed to transfer thermal energy by blank and blank
how to use infiltrator in a sentence
how many pairs of whole numbers have a sum of 40
Who was the Soviet leader during both the Eisenhower and Kennedy presidencies?
what is the value of 4x+9 if x=3?
Write a fraction that is less than 5/6 and has a denominator of 8
Help me find the 50th term to 8, 5, 2, -1, -4 ?