SOLUTION: five times the second of three consecutive even integers is six more than twice the sum of the first and third integers. write an equation, and find the three integers

Question 828705: five times the second of three consecutive even integers is six more than twice the sum of the first and third integers. write an equation, and find the three integers

Answer by TimothyLamb(4379) (Show Source): You can put this solution on YOUR website!
---
z = x + 4
y = x + 2
5y = 2(x + z) + 6
---
put the system of linear equations into standard form:
---
x - z = -4
x - y = -2
5y = 2x + 2z + 6
---
x - z = -4
x - y = -2
2x - 5y + 2z = -6
---
copy and paste the above linear system in standard form into this matrix-method solver:
https://sooeet.com/math/system-of-linear-equations-solver.php
---
solution:
x = 4
y = 6
z = 8
---
system matrix
1 0 -1
1 -1 0
2 -5 2
---
inverse of system matrix
-2 5 -1
-2 4 -1
-3 5 -1
---
determinant of system matrix = 1
---
Solve and graph linear equations:
https://sooeet.com/math/linear-equation-solver.php
---
Solve quadratic equations, 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 three consecutive even integers such that three times the second integer is six more (answered by josmiceli)

Five times the first of the three consecutive even integers is 4 less than twice the sum... (answered by ewatrrr)

Find three consecutive even integers such that the sum of three times the first, and... (answered by sachi)

find three consecutive integers such that the sum of twice the second and three times the (answered by vicgonzerx)

find three consecutive integers such that the sum of twice the second and three time the... (answered by lwsshak3)

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 the sum of five times the first, six times (answered by Maths68)