SOLUTION: the sum of two numbers is seven less than five times the smaller number. twice the larger number is one more than thrice the smaller number. find the numbers
Algebra.Com
Question 1009471: the sum of two numbers is seven less than five times the smaller number. twice the larger number is one more than thrice the smaller number. find the numbers
Answer by Cromlix(4381) (Show Source): You can put this solution on YOUR website!
Hi there.
the sum of two numbers is seven less
than five times the smaller number.
x + y = 5(x) - 7
x + y = 5x - 7
x - 5x + y = -7
-4x + y = -7........(1)
Twice the larger number is one more
than thrice the smaller number.
2(y) = 1 + 3(x)
2y = 1 + 3x
-3x + 2y = 1........(2)
...............
-4x + y = -7........(1)
-3x + 2y = 1........(2)
Multiply Eq(1) by -2
8x - 2y = 14........(1)
-3x + 2y = 1........(2)
Add Eqs(1) + (2)
5x .....= 15
x.......= 3
Substitute x = 3 into
Equation (1)
-4x + y = -7
-4(3) + y = -7
-12 + y = -7
y = -7 + 12
y = 5
Two numbers are: 3 and 5
Hope this helps :-)
RELATED QUESTIONS
The sum of two number is seven less than five times the smaller number. Twice the larger... (answered by mananth)
The sum of two numbers is 64. Two more than twice the larger number is five less than... (answered by ankor@dixie-net.com)
One number seven more than another number if the sum of twice the smaller number +3... (answered by hkwu)
the sum of two numbers is seventeen. five times the smaller number is one more than twice (answered by mananth)
the sum of two numbers is twenty-five. the larger number is seven less than four times... (answered by mananth)
The larger of two numbers is 11 more than twice the smaller. The sum of the numbers is 1... (answered by gonzo)
The sum of two numbers is 23. the difference between three times the smaller and seven is (answered by nerdybill)
The sum of two numbers is 25. The larger number is seven less than seven times the larger (answered by rfer)
The sum of two numbers is twenty-five. Twice the smaller number is two more than the... (answered by josgarithmetic)