SOLUTION: If y = 2x, z = 3y and 2x + 3y +4z = kx, what is the value of k?

SOLUTION: If y = 2x, z = 3y and 2x + 3y +4z = kx, what is the value of k?

Algebra.Com

Question 949067: If y = 2x, z = 3y and 2x + 3y +4z = kx, what is the value of k?
Answer by macston(5194) (Show Source): You can put this solution on YOUR website!
y =2x, z=6x
Substitute for y and z in the equation:
2x + 6x + 24x = kx Combine terms.
32x=kx Divide each side by x
32=k ANSWER: The value of k is 32.
RELATED QUESTIONS
if x^2 + y^2 + z^2 = 2(x - y - z) - 3 find the value of 2x - 3y +... (answered by Theo)

The value of x,y and z respectively on simplifying the equation 2x+3y=0,3y+4z=14.2x+4z=26 (answered by Alan3354)

if x + 3y + 2z = 48 and 2x + 3y + 4z = 69, then the value of 3x + 3y + 6z is (answered by Edwin McCravy)

find the value of x,y,and z with these three equations: 2x+3y-z=1,... (answered by stanbon)

What is the value of k with perpendicular equations 24x 4y=-5 and kx-3y=0 (answered by nanakwame)

What does y, x, and z equal? 2x-2y-4z=-2 3x-3y-6z=-3 -2x+3y+z=7 (answered by Alan3354,MathLover1,greenestamps,math_tutor2020)

Find the value of k so that the lines 2x � 3y = 9 and kx-9y =18 will be... (answered by stanbon)

What is the determinant of this matrix X+3Y+4Z =6... (answered by ewatrrr)

what is k if the following system of equations has a unique solution: 2x+(k-1)y=6... (answered by stanbon)