SOLUTION: solve by writing and solving an equation The larger of two numbers is three times the smaller. The sum of the two numbers is 6. What are the numbers?

Algebra.Com
Question 830409: solve by writing and solving an equation
The larger of two numbers is three times the smaller. The sum of the two numbers is 6. What are the numbers?

Answer by TimothyLamb(4379)   (Show Source): You can put this solution on YOUR website!
---
y = 3x
x + y = 6
---
put the system of linear equations into standard form:
---
3x - y = 0
x + y = 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 = 1.5
y = 4.5
---
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

Solve the problem by writing a system of equations and then solving it. The sum of two... (answered by mananth)
the sum of two numbers is 21. the smaller number is three more than half the larger... (answered by macston)
Translate into an equation and solve. (Use n to represent the smaller number.) The sum (answered by ankor@dixie-net.com)
Find two consecutive numbers such that the sum of two times the smaller and three... (answered by checkley79)
The sum of two numbers is 18.The larger number is three times the... (answered by samdom4peace)
The sum of two numbers is 18.The larger number is three times the... (answered by Alan3354)
The sum of three consecutive integers is 468. find the numbers by writing and solving an... (answered by Narsinghchauhan8960103366)
Translate into an equation and solve. Let n represent the smaller number. The sum of two (answered by ewatrrr,NaturalBornNerd)
Two numbers differ by 16. The sum of twice the larger number and three times the smaller... (answered by neatmath)