SOLUTION: The difference between two numbers is 7. The sum of half the larger number and twice the smaller number is 51. What are the two numbers? must set up the equations and show in algeb

Question 496759: The difference between two numbers is 7. The sum of half the larger number and twice the smaller number is 51. What are the two numbers? must set up the equations and show in algebraic steps)
Answer by deborabr(181) (Show Source): You can put this solution on YOUR website!
this equations system is representing the problem
x-y=7
x/2+2y=51
.
x-y=7 *(2) multiplying to when you sum delet y
x/2+2y=51
.
2x-2y=14
x/2+2y=51 suming
___________
2x+x/2+0y=65
2x+x/2=65
4x/2+x/2=130/2 make the denominators equal to delete them
4x+x=130
5x=130
x=130/5
x=26
now substituting x to find y
x-y=7
26-y=7
26-7=y
19=y
the numbers are 19 and 26
RELATED QUESTIONS
The sum of two numbers is 32. The difference between twice the larger number and three... (answered by nyc_function)

The difference between two numbers is 18. The sum of twice the smaller number and... (answered by checkley79)

The difference between two numbers is 42. If one-half of the larger number is three more... (answered by FrankM)

the difference between two numbers is 18. the sum of twice the smaller number and three... (answered by mananth)

The difference between two numbers is 8. The sum of five times the larger number and the... (answered by rfadrogane)

the difference between two numbers is 8. the sum of five times the larger number and the... (answered by jorel1380)

The sum of two numbers is 36. Let x= larger number. The difference between 4 more than... (answered by stanbon)

The difference of two numbers is -32. The sum of three times the smaller number and twice (answered by graphmatics)

the sum of two numbers is two. the difference between eight and twice the smaller number (answered by checkley71,ankor@dixie-net.com)