SOLUTION: [ 1st number is 4 times a 2nd number, after the 1st number transfers 110 to the 2nd number the 2nd number is 3 times the 1st number. What are the numbers ]

Question 825419: [ 1st number is 4 times a 2nd number, after the 1st number transfers 110 to the 2nd number the 2nd number is 3 times the 1st number. What are the numbers ]
Answer by TimothyLamb(4379) (Show Source): You can put this solution on YOUR website!
---
x = 4y
3(x - 110) = (y + 110)
---
put the system of linear equations into standard form
---
x - 4y = 0
3x - 330 = y + 110
---
x - 4y = 0
3x - y = 440
---
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 = 160
y = 40
---
system matrix
1 -4
3 -1
---
inverse of system matrix
-0.090909091 0.36363636
-0.27272727 0.090909091
---
determinant of system matrix = 11
---
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 4-equations 4-variables:
https://sooeet.com/math/system-of-linear-equations-solver.php
RELATED QUESTIONS
Hi. The sum of three numbers is 4. If you subtract the third number from the second,... (answered by Boreal)

3numbers add up to 180 2nd is twice the1st and th 3rd is is 3 times the 2nd what is each... (answered by Cromlix)

In a set of two numbers, three times the 1st number decreased by four times the 2nd... (answered by josgarithmetic)

The second number is 6 more than twice the 1st number? 1st number X 2nd number ? (answered by Alan3354)

There is a number containing 5 digits none of which is a zero. The 2nd digit is 3 times... (answered by MathTherapy)

the sum of 3 numbers is 137. the 2nd number is 4 more than 2 times the 1st number. The... (answered by checkley77)

The sum of 3 numbers is 49. The 2nd number is 5 minus 2 times the 1st number. The 3rd... (answered by Sarpi)

The ratio of 1st number to the 2nd number is 2:3 and the ratio of the 2nd to the 3rd is... (answered by richwmiller)

In a pair of consecutive even integers, the sum of 3 times the 1st number and 22 is the... (answered by ewatrrr)