SOLUTION: find three consecutive even integers such that four times the first decreased by the second is 12 more than the twice the third. solve algebraically

Question 936533: find three consecutive even integers such that four times the first decreased by the second is 12 more than the twice the third. solve algebraically
Answer by TimothyLamb(4379) (Show Source): You can put this solution on YOUR website!
z = y + 2
y = x + 2
4x - y = 2z + 12
---
put the system of linear equations into standard form
---
y - z = -2
x - y = -2
4x - y - 2z = 12
---
copy and paste the above standard form linear equations in to this solver:
https://sooeet.com/math/system-of-linear-equations-solver.php
---
solution:
x = 22
y = 24
z = 26
---
now by elimination:
---
y - z = -2
x - y = -2
---
add the two above equations:
---
x - z = -4
---
-4(x - z = -4)
4x - y - 2z = 12
---
add the two above equations:
---
-y + 2z = 28
---
-y + 2z = 28
y - z = -2
---
add the two above equations:
---
z = 26
---
solution by elimination:
x = 22
y = 24
z = 26
---
Free algebra tutoring live chat:
https://sooeet.com/chat.php?gn=algebra
---
Solve and graph linear equations:
https://sooeet.com/math/linear-equation-solver.php
---
Solve quadratic equations with quadratic formula:
https://sooeet.com/math/quadratic-formula-solver.php
---
Solve systems of linear equations up to 6-equations 6-variables:
https://sooeet.com/math/system-of-linear-equations-solver.php
---
RELATED QUESTIONS
find 3 consecutive even integers such that 4 times the first decreased by the second is... (answered by TimothyLamb)

Find 3 consecutive positive even integers such that 4 times the first decreased by the... (answered by LinnW)

find three consecutive even integers such that 4 times the first decreased by the second... (answered by ankor@dixie-net.com)

1) find three positive consecutive odd integers such that the largest decreased by twice... (answered by stanbon)

Find the largest two consecutive even integers such that 100 decreased by three times... (answered by checkley71)

Find three consecutive even integers such that the sum of twice the first and three times (answered by math_tutor2020,josgarithmetic)

Find three consecutive even integers such that twice the sum of the first and third is... (answered by mananth)

Find three consecutive even integers such that 4 times the first is 12 more than twice... (answered by stanbon)