SOLUTION: one number is three more than three times another. their product is eight less than twice their sum. find the numbers.

Question 929231: one number is three more than three times another. their product is eight less than twice their sum. find the numbers.
Answer by TimothyLamb(4379) (Show Source): You can put this solution on YOUR website!
y = 3x + 3
xy = 2(x + y) - 8
x(3x + 3) = 2x + 2(3x + 3) - 8
3xx + 3x = 2x + 6x + 6 - 8
3xx - 5x + 2 = 0
---
the above quadratic equation is in standard form, with a=3, b=-5 and c=2
---
to solve the quadratic equation, by using the quadratic formula, copy and paste this:
3 -5 2
into this solver: https://sooeet.com/math/quadratic-equation-solver.php
---
the quadratic has two real roots at:
---
x = 1
x = 0.66666666 = 2/3
---
either root will work:
---
x = 1
y = 3x + 3
y = 3*1 + 3
y = 6
---
OR
---
x = 0.66666666
y = 3x + 3
y = 3*0.66666666 + 3
y = 5
---
answer:
x = 1
y = 6
---
OR
---
x = 2/3
y = 5
---
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
One number is seven more than three times another; their sum is 19. Find the numbers. (answered by rfer)

One number is 40 more than twice another. Their product is 40 more than twice their sum.... (answered by macston)

One number is five more than another and their sum is three less than three times the... (answered by nycsharkman)

One number is five more than another and their sum is three less than three times the... (answered by ewatrrr)

One number is three more than another. Their product is 70. Find the... (answered by richwmiller)

One number is eight less than twice another. Their sum is 100. What are the numbers? (answered by rfer)

One number is three less than twice another. The sum of their squares is 74. Find the... (answered by stanbon)

One number is three less than another. Their sum is fifteen. Find the numbers (answered by mbarugel)

Four less than five times a number is tweleve more than another number. Three times the... (answered by solver91311)